Question

For questions 5-6, g(x) is a transformation of f(x) = x2. What is the function g(x) that is represented by the graph? QUESTION 5

Answer 1

The transformation in question 5 shows a shift to the left by 3 units.

A shift to the left by b units has the rule:

$f(x)\to f(x+b)$

Therefore, the shift to the left by 3 units will yield the function:

$x^2\to(x+3)^2$

Hence, the function g(x) will be:

$g(x)=(x+3)^2$