Which statement best describes how the graph of g(x)=−5x^2 compares to the graph off(x)=x^2? question 11 options:
a)the graph of g(x) is a vertical stretch of f(x) by a factor of 5.
b) the graph of g(x) is a reflection of f(x) across the x-axis.
c)the graph of g(x) is a vertical compression of f(x) by a factor of 15 and reflection across the x-axis.
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.

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 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

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

The correct choice is D.

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !