Question

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

y=5x^2-30x+95

Answer 1

Answer:

y = 5(x - 3)² + 50-------

Explanation:

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, factor out 5 from 5x² - 30x

y = 5(x² - 6x) + 95

To complete the square

Explanation:

Answer 2

y = 5(x - 3)² + 50

Explanation:

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, factor out 5 from 5x² - 30x

y = 5(x² - 6x) + 95

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = 5(x² + 2(- 3)x + 9 - 9) + 95

= 5(x - 3)² - 45 + 95

= 5(x - 3)² + 50