Question

10 points

Consider the function f(x)=x^2−7. What would be the new function g(x) if f(x) is translated left 2 units and down 3 units?

Answer 1

g(x) = (x+2)² - 10

Explanation:

Our current function is f(x) = x²-7

It is already shifted down 7 units from the parent function x², so we are just going to shift it down 3 more, making it shifted 10 units from x²

Next, we need to translate it 2 units to the left. We can simply do (x+2)² for this part

Final equation: g(x) = (x+2)² - 10