Answer:
Graph D
Step-by-step explanation:
Given f(x) is a exponential function
The graph (a) is a graph of an absolute function because we have V shaped graph
The graph (b) is the graph of a line so it is a graph of a linear function
The graph (c) is a U shaped graph. U shaped graph is a graph of a quadratic function.
The graph (d) is a curve shaped graph. It is a graph of an exponential function.
The function g(x) is g(x)= (3x)^2
<h3>How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
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