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

y=5x^2-30x+95

y = 5 (x - 3) ² + 50

Step-by-step 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