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.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.