Question

Which statement BEST describes how the graph of g(x)=−5x^2 compares to the graph off(x)=x^2? Question 11 options:

Answer 1

Answer:

D) The graph of g(x) is a vertical stretch of f(x) by a factor of 5 and a reflection across the x-axis

Step-by-step explanation:

The functions $f(x)=x^2$ is called the base function for the vertical parabola.

If this function is reflected across the x-axis, the parent function is negated to get the transformed function, which is $h(x)=-x^2$

If the resulting function is stretched vertically by a factor of 5, we multiply it by 5 to get;

$g(x)=-5x^2$

The correct choice is D.