Question

suppose that f(x)=x^2 and g(x) = -2/3x^2 which statement best compares that graph of g(x) with the graph of f(x)?

Answer 1

Answer:

$f(x) = x^2 , g(x)= -\frac{2}{3}x^2$

And we want to compare the two functions.

The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:

The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis

Step-by-step explanation:

We have the following two function given:

$f(x) = x^2 , g(x)= -\frac{2}{3}x^2$

And we want to compare the two functions.

The minus signs is a reflection around the x axis and the value of 2/3 is a compression of the original function so then the best answer would be:

d) The graph of g(x) is the graph of f(x) compressed vertically and reflected over the x axis