Answer:
g(x) is a vertical stretch of f(x) by a factor of 3
Explanation:
A function g(x) is a vertical stretch of f(x), if g(x) = c*f(x) where c is a number greater than 1.
In this case,
g(x) = 3*f(x) = 3*x²
So, g(x) is a vertical stretch of f(x)
Now, in order to sketch a graph for f(x) and g(x), we are going to use the following table:
x f(x) g(x)
-1 (-1)² = 1 3(-1)² = 3
0 (0)² = 0 3(0)² = 0
1 (1)² = 1 3(1)² = 3
Then, the graph of f(x) and g(x) is:
