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
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