Question

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+1

q(x)=-5(x+10)²-1

s(x)=-(x-1)²+0.5

g(x)=2x²+10x-35

t(x)=-2x²-4x-3

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Answer 1

q(x) and t(x)

Explanation:

p(x) has no maximum (bc it's an upward parabola) and is shifted up from the parent equation

q(x) has a maximum (downward parabola) and is shifted left and down from the parent equation

s(x) has a maximum (downward parabola), but is shifted right and up of the parent equation

g(x) has no maximum (upward parabola) but is shifted left and down

t(x)has a maximum (downward parabola) and is shifted left and down from the parent equation

See the attached image for details :) hope this helps!