Question

Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?​

Answer 1

D

Explanation:

Changes observed :

1. Coefficient of x² becomes 1/3 of original, this means it is vertically compressed
2. Also, the coefficient has become negative, meaning it is flipped over the x-axis
3. x² is now (x + 4)², this means it has shifted 4 units to the left.

The correct option is D.

Answer 2

Answer: C

Explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) =
`x^2`