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

2 Answers

6 votes

Answer:

y=2x^2+12x+13

Explanation:

y = 2x^2 + 12x + 13

This is the correct answer

User Well Wisher
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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!
User Tal Ohana
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7.9k points

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