Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. p(x) = 14(x + 7)2 + 1q(x) = –5(x + 10)2 – 1s(x) = –(x – 1)2 + 0.5g(x) = 2x2 + 10x – 35t(x) = –2x2 – 4x – 3

A quadratic has a maximum when it opens downward, so its leading coefficient must be negative. For q(x) = –5(x + 10)² – 1, the vertex is (–10, –1), which is left and down from (0, 0). Rewriting t(x) gives –2(x + 1)² – 1, with vertex (–1, –1), also left and down. Thus the correct choices are q(x) and t(x).

AI-written and checked against the verified answer.