Answer:
y = 4(x-2)^2 +48
Step-by-step explanation:
y = 4x^2 − 16x + 64
Factor out a 4
y = 4(x^2 − 4x ) +64
Now we need to complete the square (-4/2) ^2 = 4
But remember the 4 on the outside. We add 4 on the inside of the parentheses, but are really adding 4*4 = 16 If we add 16 we need to subtract 16 to remain equal
y = 4(x^2 -4x +4) -16+64
= 4 (x^2 -4x+4) +48
Factor the parentheses
= 4(x+ (-4/2) ) ^2 +48
y = 4(x-2)^2 +48
h = 2, k=48
