Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l l } \text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \\ \text { completing the square } & \text { quadratic inequality } & ( h , k ) & ( 0 , k ) \\ ( h , 0 ) & \frac { - b } { 2 a } & & \end{array}\] -The formula $x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the______

A) quadratic B) quadratic inequality C) quadratic formula D) discriminant A) quadratic B) quadratic inequality C) quadratic formula D) discriminant

Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l l } \text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \\ \text { completing the square } & \text { quadratic inequality } & ( h , k ) & ( 0 , k ) \\ ( h , 0 ) & \frac { - b } { 2 a } & & \end{array}\] -The graph of $( x - h ) ^ { 2 }$ has vertex________

A) $( h , 0 )$ B) $( 0 , \mathrm { k } )$ C) $\pm \sqrt { b }$ D) (h, k) A) $( h , 0 )$ B) $( 0 , \mathrm { k } )$ C) $\pm \sqrt { b }$ D) (h, k)

Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l l } \text { quadratic formula } & \text { quadratic } & \text { discriminant } & \pm \sqrt { b } \\ \text { completing the square } & \text { quadratic inequality } & ( h , k ) & ( 0 , k ) \\ ( h , 0 ) & \frac { - b } { 2 a } & & \end{array}\] -The process of writing a quadratic equation so that one side is a perfect square trinomial is called --------

A) completing the square B) discriminant C) quadratic D) quadratic formula A) completing the square B) discriminant C) quadratic D) quadratic formula

Exam 11: Quadratic Equations and Functions

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $( x + 6 ) ( x + 4 ) \leq 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - ( x + 6 ) ( x + 4 ) \leq 0$

(Multiple Choice)

4.8/5

(68)

Question 21

Solve. -The area of a square porch is 64 square feet. Find the dimensions of the porch.

(Multiple Choice)

4.7/5

(73)

Question 22

Use the square root property to solve the equation. - $( x + 3 ) ^ { 2 } = 10$

(Multiple Choice)

4.9/5

(76)

Question 23

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The formula $x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the______

(Multiple Choice)

4.8/5

(92)

Question 24

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The graph of $( x - h ) ^ { 2 }$ has vertex________

(Multiple Choice)

4.7/5

(92)

Question 25

Use the discriminant to determine the number and type of solutions of the equation. - $x ^ { 2 } + 5 x - 6 = 0$

(Multiple Choice)

4.9/5

(82)

Question 26

Provide an appropriate response. -Given a parabola opens downward and the vertex is located in quadrant II, determine the number of $\mathrm { y }$ -intercept(s).

(Multiple Choice)

4.8/5

(72)

Question 27

Solve the equation. - $( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$

(Multiple Choice)

4.7/5

(93)

Question 28

Solve the equation. - $\mathrm { m } ^ { 2 } + \mathrm { m } + 4 = 0$

(Multiple Choice)

5.0/5

(81)

Question 29

Use the quadratic formula to solve the equation. - $x ^ { 2 } + 14 x + 74 = 0$

(Multiple Choice)

4.9/5

(82)

Question 30

Solve. -The base of a triangle is 4 more than twice its height. If the area of the triangle is 82 square centimeters, find its base and height.

(Multiple Choice)

4.8/5

(72)

Question 31

Find the vertex of the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } - 7 x - 3$

(Multiple Choice)

4.9/5

(75)

Question 32

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 6 x - 5$

(Multiple Choice)

4.8/5

(74)

Question 33

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-x^{2}+1$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-x^{2}+1$

(Multiple Choice)

4.9/5

(81)

Question 34

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $x ^ { 2 } - 2 x \geq 3$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - x ^ { 2 } - 2 x \geq 3$

(Multiple Choice)

4.8/5

(88)

Question 35

Solve. - $x ^ { 4 } + 25 = 26 x ^ { 2 }$

(Multiple Choice)

4.9/5

(70)

Question 36

Provide an appropriate response. -Given a parabola opens upward and the vertex is located in quadrant III, determine the number of $x$ -intercept(s).

(Multiple Choice)

4.7/5

(85)

Question 37

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-\frac{1}{4} x^{2}$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-\frac{1}{4} x^{2}$

(Multiple Choice)

4.9/5

(79)

Question 38

Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - $h(x)=x^{2}-8 x+16$ $Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - h(x)=x^{2}-8 x+16$

(Multiple Choice)

4.9/5

(84)

Question 39

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The process of writing a quadratic equation so that one side is a perfect square trinomial is called --------

(Multiple Choice)

4.8/5

(64)

Question 40

Showing 21 - 40 of 242

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $( x + 6 ) ( x + 4 ) \leq 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - ( x + 6 ) ( x + 4 ) \leq 0$

Solve. -The area of a square porch is 64 square feet. Find the dimensions of the porch.

Use the square root property to solve the equation. - $( x + 3 ) ^ { 2 } = 10$

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The formula $x = \frac { - b \pm \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ is called the______

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The graph of $( x - h ) ^ { 2 }$ has vertex________

Use the discriminant to determine the number and type of solutions of the equation. - $x ^ { 2 } + 5 x - 6 = 0$

Provide an appropriate response. -Given a parabola opens downward and the vertex is located in quadrant II, determine the number of $\mathrm { y }$ -intercept(s).

Solve the equation. - $( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$

Solve the equation. - $\mathrm { m } ^ { 2 } + \mathrm { m } + 4 = 0$

Use the quadratic formula to solve the equation. - $x ^ { 2 } + 14 x + 74 = 0$

Solve. -The base of a triangle is 4 more than twice its height. If the area of the triangle is 82 square centimeters, find its base and height.

Find the vertex of the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } - 7 x - 3$

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 6 x - 5$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-x^{2}+1$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-x^{2}+1$

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $x ^ { 2 } - 2 x \geq 3$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - x ^ { 2 } - 2 x \geq 3$

Solve. - $x ^ { 4 } + 25 = 26 x ^ { 2 }$

Provide an appropriate response. -Given a parabola opens upward and the vertex is located in quadrant III, determine the number of $x$ -intercept(s).

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-\frac{1}{4} x^{2}$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-\frac{1}{4} x^{2}$

Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - $h(x)=x^{2}-8 x+16$ $Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - h(x)=x^{2}-8 x+16$

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The process of writing a quadratic equation so that one side is a perfect square trinomial is called --------

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 11: Quadratic Equations and Functions

Solve the inequality. Graph the solution set and write the solution set in interval notation. - (x+6)(x+4)≤0( x + 6 ) ( x + 4 ) \leq 0(x+6)(x+4)≤0

Solve. -The area of a square porch is 64 square feet. Find the dimensions of the porch.

Use the square root property to solve the equation. - (x+3)2=10( x + 3 ) ^ { 2 } = 10(x+3)2=10

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The graph of (x−h)2( x - h ) ^ { 2 }(x−h)2 has vertex________

Use the discriminant to determine the number and type of solutions of the equation. - x2+5x−6=0x ^ { 2 } + 5 x - 6 = 0x2+5x−6=0

Provide an appropriate response. -Given a parabola opens downward and the vertex is located in quadrant II, determine the number of y\mathrm { y }y -intercept(s).

Solve the equation. - (x+5)2+7(x+5)+10=0( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0(x+5)2+7(x+5)+10=0

Solve the equation. - m2+m+4=0\mathrm { m } ^ { 2 } + \mathrm { m } + 4 = 0m2+m+4=0

Use the quadratic formula to solve the equation. - x2+14x+74=0x ^ { 2 } + 14 x + 74 = 0x2+14x+74=0

Solve. -The base of a triangle is 4 more than twice its height. If the area of the triangle is 82 square centimeters, find its base and height.

Find the vertex of the graph of the quadratic function. - f(x)=−x2−7x−3f ( x ) = - x ^ { 2 } - 7 x - 3f(x)=−x2−7x−3

Match the function with its graph. - f(x)=−x2−6x−5f ( x ) = - x ^ { 2 } - 6 x - 5f(x)=−x2−6x−5

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=−x2+1f(x)=-x^{2}+1f(x)=−x2+1

Solve the inequality. Graph the solution set and write the solution set in interval notation. - x2−2x≥3x ^ { 2 } - 2 x \geq 3x2−2x≥3

Solve. - x4+25=26x2x ^ { 4 } + 25 = 26 x ^ { 2 }x4+25=26x2

Provide an appropriate response. -Given a parabola opens upward and the vertex is located in quadrant III, determine the number of xxx -intercept(s).

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=−14x2f(x)=-\frac{1}{4} x^{2}f(x)=−41​x2

Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - h(x)=x2−8x+16h(x)=x^{2}-8 x+16h(x)=x2−8x+16

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The process of writing a quadratic equation so that one side is a perfect square trinomial is called --------

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $( x + 6 ) ( x + 4 ) \leq 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - ( x + 6 ) ( x + 4 ) \leq 0$

Use the square root property to solve the equation. - $( x + 3 ) ^ { 2 } = 10$

Fill in the blank with one of the words or phrases listed below. quadratic formula quadratic discriminant \pm completing the square quadratic inequality (h,k) (0,k) (h,0) -The graph of $( x - h ) ^ { 2 }$ has vertex________

Use the discriminant to determine the number and type of solutions of the equation. - $x ^ { 2 } + 5 x - 6 = 0$

Provide an appropriate response. -Given a parabola opens downward and the vertex is located in quadrant II, determine the number of $\mathrm { y }$ -intercept(s).

Solve the equation. - $( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$

Solve the equation. - $\mathrm { m } ^ { 2 } + \mathrm { m } + 4 = 0$

Use the quadratic formula to solve the equation. - $x ^ { 2 } + 14 x + 74 = 0$

Find the vertex of the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } - 7 x - 3$

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 6 x - 5$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-x^{2}+1$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-x^{2}+1$

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $x ^ { 2 } - 2 x \geq 3$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - x ^ { 2 } - 2 x \geq 3$

Solve. - $x ^ { 4 } + 25 = 26 x ^ { 2 }$

Provide an appropriate response. -Given a parabola opens upward and the vertex is located in quadrant III, determine the number of $x$ -intercept(s).

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=-\frac{1}{4} x^{2}$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=-\frac{1}{4} x^{2}$

Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - $h(x)=x^{2}-8 x+16$ $Graph the function. Find the vertex, y-intercept, and x-intercepts (if any). - h(x)=x^{2}-8 x+16$