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Function f is a rational function with a y-intercept at (0,2). if g(x) = 4f(x), which point represents the y-intercept of function g?

User Niranjan Pb
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2 Answers

10 votes
10 votes

Answer: The point that represents the y-intercept of function g is (0,8).

(to question: Select the correct answer.

Function f is a rational function with a y-intercept at (0,2). If g(x) = 4f(x), which point represents the y-intercept of function g?)

Explanation:

Multiplying the parent function f by a positive number, a, vertically stretches the graph by a factor of a. So, the graph of function g is the graph of function f stretched vertically by a factor of 4.

The graph of function f has a y-intercept at y = 2, so the graph of function g has a y-intercept at y = 4(2), or y = 8. Therefore, the point that represents the y-intercept of function g is (0,8).

User Piet
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3.1k points
11 votes
11 votes

Answer:

(0,8)

Explanation:


g(0)=4f(0)=4(2)=8

User Rutvij Kotecha
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3.2k points