To find the standard form of the equation, you need to:
1. Write the Equation Out:
[tex]y = 2(x+3)^{2} -5[/tex]
2. Distribute the Exponent:
[tex]y = 2( x^{2} +6x+9)-5[/tex]
3. Use the Distributive Property:
[tex]y = 2 x^{2} +12x+18-5[/tex]
4. Combine Like Terms:
[tex]y = 2 x^{2} +12x+13[/tex]
Your Answer: [tex]y = 2 x^{2} +12x+13[/tex]
Hope this helps!
