Question

Suppose that F(x) = x2 and G(X) = 2/3 x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

Answer 1

C.

Explanation:

Answer 2

Answer:The graph of
`G(x)` is the graph of
`F(x)` compressed vertically.

Explanation:

Given that
`F(x)=x^(2)` and
`G(x)=(2)/(3)x^(2)`

`F(x)` is always positive because
`x^(2)` is always positive.

`G(x)` is always positive because
`(2)/(3)x^(2)` is always positive.

So,both are always positive.

So,there is no flipping over x-axis.

In
`F(x)`,the height of a point at
`x_(0)` is
`x_(0)^(2)`

In
`G(x)`,the height of a point at
`x_(0)` is
`(2)/(3)x_(0)^(2)`

So,height of any point has less height in
`G(x)` than
`F(x)`

So,the graph of
`G(x)` is the graph of
`F(x)` compressed vertically.