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).