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Use a Table of Values to Graph the Plane Curve $x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ]$

Question 252

Multiple Choice

Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation
for the curve.
- $x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ]$
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$

A)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$
$y = x ^ { 2 } + 1$ , for $x$ in $[ - 2,2 ]$

B)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$
$y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 }$ , for $x$ in $[ - 9,7 ]$
C)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$
$y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ]$

D)
$Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve. - x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ] A) y = x ^ { 2 } + 1 , for x in [ - 2,2 ] B) y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 25 } { 4 } , for x in [ - 9,7 ] C) y = \frac { 1 } { 2 } x ^ { 2 } + 1 , \text { for } x \text { in } [ - 6,4 ] D) y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$
$y = - \frac { 1 } { 2 } x + 30 \text {, for } x \text { in } [ - 6,4 ]$

Use a Table of Values to Graph the Plane Curve x=2t−1,y=t2+6, for t in [−4,4]x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ]x=2t−1,y=t2+6, for t in [−4,4]

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Use a Table of Values to Graph the Plane Curve $x = 2 t - 1 , y = t ^ { 2 } + 6 \text {, for } t \text { in } [ - 4,4 ]$

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