Using the graph of $f(x)=x^2$ as a guide, describe the transformations, and then graph the function $g(x)=-2x^2$ ?

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Answer 1 · 2015-12-14T20:52:38

$f(x)=x^2$
$(x,y)$
graph{x^2 [-15, 15, -20, 20]}

$h(x)=color(red)(2)x^2$
Stretch by a vertical factor of $2$ . (The graph rises faster and becomes skinnier.)
$(x,2y)$
graph{2x^2 [-15, 15, -20, 20]}

$g(x)=color(red)(-)2x^2$
Reflect the function across the $x$ -axis.
$(x,-2y)$
graph{-2x^2 [-15, 15, -20, 20]}

Using the graph of f(x)=x^2f(x)=x^2 as a guide, describe the transformations, and then graph the function g(x)=-2x^2g(x)=-2x^2?