Give the equation of the function g whose graph is described.
-The graph of $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 }$ is vertically stretched by a factor of 8 , and the resulting graph is reflected across the $x$-axis.
A) $g ( x ) = - 8 x ^ { 2 }$
B) $g ( x ) = ( x - 8 ) ^ { 2 }$
C) $g ( x ) = 8 ( x - 8 ) x ^ { 2 }$
D) $g ( x ) = 8 x ^ { 2 }$

Question

Quizplus · Accepted Answer

A vertical stretch by a factor of 8 applied to $f(x) = x^2$ results in $8x^2$. Reflecting this across the x-axis multiplies the function by -1, resulting in $g(x) = -8x^2$.

Give the Equation of the Function G Whose Graph Is f(x)=x2\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 }f(x)=x2

Give the Equation of the Function G Whose Graph Is $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 }$