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

Question

Charlize

Mathematics

10 December, 07:34

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

+5

Answers (1)

Know the Answer?

Kaitlin Bullock · Answer 1

I believe the correct answer from the choices listed above is option D. The graph G (x) as compared to the graph of F (x) would be that the graph of G (x) is the graph of F (x) stretched vertically and shifted 5 units down. 2 is a stretch factor and - 5 is the shift downwards of the graph. Hope this answers the question.