Let's begin by listing out the information given to us:
The parent function f(x) is defined by the expression: f(x) = x^2
We will observe that the function g(x) shifts 3 units to the left.
The standard form is given by:
(x - h)²
This implies that g(x) moves from (0, 0) to (-3, 0)
⇒ h = -3 & vertex x= -3
Substituting the value of "h" into the standard form expression, we have:
(x - - 3)² ⇒ (x + 3)²
⇒ g(x) = (x + 3)²
g(x) = (x + 3)²
