The parabola y=x^2 is changed to the form y=a(x-p)^2+q by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of p, q,a

Answer 1

So y = x2 is the parent function. We want to move the parabola up 2 unit and 4 units to the right with expanding vertically by factor of 3. 'a' measures the compression/expansion of the parabola. 'p' measures shift in the x-axis, and 'q' measures the shift in the y-axis.

y = a*(x-p)² + q

a = 3

p = 4

q = 2

y_new = 3*(x-4)² + 2