Question

The vertex form of the equation of a parabola is y=2(x+3)^2-5. What is the standard form of the equation?

Answer 1

y=2x^2+12x+13

Explanation:

y = 2x^2 + 12x + 13

This is the correct answer

Answer 2

To find the standard form of the equation, you need to:
1. Write the Equation Out:

`y = 2(x+3)^(2) -5`
2. Distribute the Exponent:

`y = 2( x^(2) +6x+9)-5`
3. Use the Distributive Property:

`y = 2 x^(2) +12x+18-5`
4. Combine Like Terms:

`y = 2 x^(2) +12x+13`

Your Answer:
`y = 2 x^(2) +12x+13`
Hope this helps!