Question

WILL GIVE 20 POINTS HELP ASAP!!

suppose that f(x) = x^2 and g(x) = 2/5x^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 and flipped over x-axis.

B. The graph of g(x) is the graph of f(x) stretched vertically.

C. The graph of g(x) is the graph of compressed vertically.

D. The graph of g(x) is the graph if f(x) stretched vertically and flipped over the x-axis.

Answer 1

Answer: C

Explanation:

Answer 2

C. The graph of g(x) is the graph of compressed vertically.

Explanation:

Only a change from negative to positive or positive to negative can flip the graph. This doesn't have that change so only B and C are options. Remember when a number less than 1 is multiplied to the function, it compresses and gets wider. When a number greater than 1 is multiplied to the function, it stretches and gets narrow. This is 2/5 which is smaller than 1. So C is the correct answer.