Question

The parabola y=x2y=x2 is changed to the form y=a(x−p)2+qy=a(x−p)2+q by translating the parabola 4 units down and 2 units right and expanding it vertically by a factor of 3. what are the values of aa, pp, and qq?

Answer 1

y=x²

y=x²-4 translating the parabola 4 units down

y=(x-2)²-4 translating the parabola 2 units right

3y=(x-2)²-4 translating parabola expanding it vertically by a factor of 3
(1/3)3y=1/3 (x-2)²-4
y=1/3 (x-2)²-4

a=1/3; p=2; q=-4