High School

The graph of [tex]f(x) = x[/tex] is shown on the coordinate plane. Function [tex]g[/tex] is a transformation of [tex]f[/tex], as shown below:

[tex]g(x) = \frac{3}{4} f(x)[/tex]

Which of the following graphs represents the function [tex]g[/tex]?

Answer :

Final answer:

The correct graph represents a vertical stretch of the original graph of f(x) by a factor of (3/4).

Explanation:

Given the function g(x) = (3/4)f(x), where f(x) = x, we need to find the graph that represents g(x). To do this, we can apply the transformation described by g(x) to the original graph of f(x). Since g(x) multiplies the y-values of f(x) by (3/4), the graph of g(x) will be a vertical stretch of f(x) by a factor of (3/4). This means that g(x) will be flatter than f(x) and the y-values will be smaller. Therefore, the correct graph is the one with a shallower slope than the original graph.

Learn more about Graph transformation here:

https://brainly.com/question/19040905

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