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Describe the Transformations and Give the Equation for the Graph f(x)=∣x∣f ( x ) = | x |

Question 417

Multiple Choice

Describe the transformations and give the equation for the graph.
- Describe the transformations and give the equation for the graph. -   A)  It is the graph of  f ( x )  = | x |  translated 6 units to the left, stretched vertically by a factor of 2 and translated 8 units down. The equation is  y = 2 | x - 6 | + 8  B)  It is the graph of  f ( x )  = | x |  translated 6 units to the left, stretched vertically by a factor of 2 and translated 8 units down. The equation is  y = 2 | x + 6 | - 8  C)  It is the graph of  f ( x )  = | x |  translated 6 units to the left, shrunken vertically by a factor of  \frac { 1 } { 2 }  and translated 8 units down. The equation is  y = \frac { 1 } { 2 } | x - 6 | - 8   D)  It is the graph of  f ( x )  = | x |  translated 6 units to the left, shrunken vertically by a factor of  \frac { 1 } { 2 }  and translated 8 units down. The equation is  y = \frac { 1 } { 2 } | x + 6 | - 8


A) It is the graph of f(x) =∣x∣f ( x ) = | x | translated 6 units to the left, stretched vertically by a factor of 2 and translated 8 units down. The equation is y=2∣x−6∣+8y = 2 | x - 6 | + 8
B) It is the graph of f(x) =∣x∣f ( x ) = | x | translated 6 units to the left, stretched vertically by a factor of 2 and translated 8 units down. The equation is y=2∣x+6∣−8y = 2 | x + 6 | - 8
C) It is the graph of f(x) =∣x∣f ( x ) = | x | translated 6 units to the left, shrunken vertically by a factor of 12\frac { 1 } { 2 } and translated 8 units down. The equation is y=12∣x−6∣−8y = \frac { 1 } { 2 } | x - 6 | - 8

D) It is the graph of f(x) =∣x∣f ( x ) = | x | translated 6 units to the left, shrunken vertically by a factor of 12\frac { 1 } { 2 } and translated 8 units down. The equation is y=12∣x+6∣−8y = \frac { 1 } { 2 } | x + 6 | - 8

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