Question

11 fill in the blanks of g(x) to translate the function g(x) 1 unit down and 3 units to the left. $(x \boxed{\phantom{0000}})^2 \boxed{\phantom{0000}}$

Explanation:

Step1: Horizontal translation left

For a horizontal shift left by 3 units, replace $x$ with $x+3$ in the parent function $x^2$.
Expression: $(x + 3)^2$

Step2: Vertical translation down

For a vertical shift down by 1 unit, subtract 1 from the horizontally shifted function.
Expression: $(x + 3)^2 - 1$

Answer:

First blank: $+3$, Second blank: $-1$
The completed function is $\boldsymbol{(x + 3)^2 - 1}$