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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.

Respuesta :

kudzordzifrancis

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 [tex]f(x)=x^2[/tex] 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 [tex]h(x)=-x^2[/tex]

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

[tex]g(x)=-5x^2[/tex]

The correct choice is D.

rjhoogie

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:

I just did this and got it correct

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