Question

Suppose that Fx) = x2 and G(x) = 4x2 - 2. Which statement best compares thegraph of G(x) with the graph of F(x)?O A. The graph of G(x) is the graph of F(x) compressed vertically andshifted 2 units down.B. The graph of G(x) is the graph of F(x) compressed vertically andshifted 2 units to the right.C. The graph of G(X) is the graph of F(x) stretched vertically andshifted 2 units to the right.D. The graph of G(x) is the graph of F(x) stretched vertically andshifted 2 units down.

Answer 1

The graph of G(x) is the graph of F(x) stretched vertically and

shifted 2 units down

Here, we want to select a statement that best compares the graph of the two given equations

Firstly, we can notice the 4 at the front of the equation for g(x)

What this mean is that there is a vertical stretching of f(x) to give this

Secondly, we can see that there is a subtraction of -2

What this mean is that we are having a downward vertical translation by 2 units

The correct answer is thus;

The graph of G(x) is the graph of F(x) stretched vertically and

shifted 2 units down.

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