Question

How do I convert this Standard Form equation to Graphing Form?

y=3x^2+30x+74

Answer 1

by completing the square

Answer 2

1. Subtract 74 from both sides
2. Divide both sides by three
3. Add (10/2)^2 or 25 to both sides
4. Re-write the right side as a binomial square
5. Isolate y once again

Answer 3

a) \(y - 74 = 3x^2 + 30x\)
b) \(\dfrac{y - 74}{3} = x^2 + 10x\)
c) \(\dfrac{y - 74}{3} + 25 = x^2 + 10x + 25\)
d) \(\dfrac{y - 74}{3} + 25 = (x + 5)^2\)
e) \(\dfrac{y - 74}{3} = (x + 5)^2 -25\)

\(y - 74 = 3(x + 5)^2 - 75\)

\(y = 3(x + 5)^2 - 1\)