Suppose f (x) = x2 and g (x) = 4x2. 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) vertically compressed by a factor of 4.

B. The graph of g (x) is the graph of f (x) horizontally stretched by a factor of 4.

C. The graph of g (x) is the graph of f (x) vertically stretched by a factor of 4.

D. The graph of g (x) is the graph of f (x) shifted 4 units left.

Question

Mathematics

Will

9 August, 08:13

Suppose f (x) = x2 and g (x) = 4x2. 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) vertically compressed by a factor of 4.

B. The graph of g (x) is the graph of f (x) horizontally stretched by a factor of 4.

C. The graph of g (x) is the graph of f (x) vertically stretched by a factor of 4.

D. The graph of g (x) is the graph of f (x) shifted 4 units left.

+2

Answers (1)

Know the Answer?

Farrell · Answer 1

Given:

f (x) = x²

g (x) = 4x²

Therefore

g (x) = 4f (x)

This means that the value of g (x) is 4 times the value of f (x). So the graph og (x) is the graph of f (x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Answer: C.

The graph of g (x) is the graph of f (x) vertically stretched by a factor of 4.