Question

Help please! Suppose f(x) = x². What is the graph of g(x)= ⅓f(x)

Answer 1

The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A

Graph of functions

From the question, we are to determine the graph of the given function

The function we are to determine its graph is

g(x) = 1/3 f(x)

From the given information,

f(x) = x²

Thus,

We are to determine the graph of

g(x) = 1/3 x²

First, we will determine some points on the given function

Find g(x) when x = -3

g(x) = 1/3 x²

g(x) = 1/3 (-3)²

g(x) = 1/3 × 9

g(x) = 3

Find g(x) when x = 0

g(x) = 1/3 x²

g(x) = 1/3 (0)²

g(x) = 1/3 × 0

g(x) = 0

Find g(x) when x = 3

g(x) = 1/3 x²

g(x) = 1/3 (3)²

g(x) = 1/3 × 9

g(x) = 3

Using the points above, the graph of the function is shown below

Learn more on Graph of functions here: brainly.com/question/9525508

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