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

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²