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

A.) the graph of G (x) is the graph of F (x) compressed vertically.

B.) the graph of G (x) is the graph of F (x) stretched vertically and flipped over the x-axis.

C.) the graph of G (x) is the graph of F (x) stretched vertically.

D.) the graph of G (x) is the graph of F (x) compressed vertically and flipped over the x-axis

Question

Mathematics

Arielle Lamb

13 May, 19:09

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

A.) the graph of G (x) is the graph of F (x) compressed vertically.

B.) the graph of G (x) is the graph of F (x) stretched vertically and flipped over the x-axis.

C.) the graph of G (x) is the graph of F (x) stretched vertically.

D.) the graph of G (x) is the graph of F (x) compressed vertically and flipped over the x-axis

+3

Answers (1)

Know the Answer?

Yair Richmond · Answer 1

Multiplying a function by a number that when squared is less than one, compresses the graph vertically by a factor equal to the coefficient.

In this case (2/3) ^2=4/9 and 4/9<1 so the graph of G (x) is the graph of F (x) compressed vertically.