The equation of the function represented by g(x) is g(x) = 16x²
How to calculate the equation of the function g(x)
From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x²
In the graph, we can see that
Both functions pass through the vertex (0, 0)
However, the function g(x) passes through (1, 16)
This means that
g(x) = a * f(x)
Recall that
f(x) = x²
This means that
f(x) = ax²
Using the point (1, 16), we have
a(1)² = 16
a = 16
So, we get
g(x) = 16x²
This means that the equation of the function g(x) is g(x) = 16x²