Rewrite the quadratic equation in the form y = a(x − h)2 + k. y = 4x2 − 16x + 64

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

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

i think the answer is true

step-by-step explanation: