Question

Suppose that F(x) = x^2 and G(x) = 2x^2-5. Which statement best compares the graph G(x) with the graph of F(x)?

A. The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units to the right
B. The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units down
C. The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units to the right
D. The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down

Answer 1

Hints:
f(x) --- > af(x) is a vertical stretch factor a
f(x) ----> f(x - a) shifts f(x) 5 units to the right

Answer 2

The answer would be D

Answer 3

you are right
f(x) --- > f(x) - a is a shift vertically down a units

Answer 4

sorry - the second one was a wrong hint!!