Question

Rewrite the quadratic equation in the form y=a(x - h)^2 + k

y= 4x^2 -16x + 64

Answer 1

y = 4(x - 2)² + 48

Explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

= 4(x - 2)² - 16 + 64

= 4(x - 2)² + 48

Answer 2

y = 4(x - 2)² + 48

Explanation:

Given

y = 4x² - 16x + 64

Using the method of competing the square

Factor out 4 from 4x² - 16x

y = 4(x² - 4x) + 64

add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = 4(x² + 2(- 2)x + 4 - 4 ) + 64

= 4(x - 2)² - 16 + 64

= 4(x - 2)² + 48