write an equation for the function whose graph fits the given description.

Question

The graph f(x)=x^2 is shifted 8 units to the left and 5 units downward.

Answer 1

8 units to the left means f(x) → f(x + 8)

5 units downward means f(x) → f(x) - 5

Combine these two and get

g(x) = (x + 8)² - 5