Question

Choose the function that shows the correct transformation of the quadratic function shifted one unit up and eight units

to the left.

Answer 1

f(x) = (x+8)²+1

Explanation:

For a function in the form f(x) = (x-h)²+k, we can tell how it's shifted horizontally by setting what's inside the parentheses equal to zero and solving: Ex - if (x-8)², we set x-8=0 and solve to x=8, so the function is shifted to the right(+) 8 units.

Likewise, the number being added or subtracted after the (x-h)² tells us directly about the vertical shift: Ex - if (x-h)²-1, then it's shifted down(-) 1 unit.