Question

convert to standard form. $y = 2(x + 4)^2-5$

Explanation:

Step1: Expand $(x + 4)^2$

Use the formula $(a + b)^2=a^{2}+2ab + b^{2}$, where $a=x$ and $b = 4$. So $(x + 4)^2=x^{2}+8x + 16$.

Step2: Multiply by 2

$y=2(x^{2}+8x + 16)-5=2x^{2}+16x+32 - 5$.

Step3: Simplify

$y=2x^{2}+16x + 27$.

Answer:

$y = 2x^{2}+16x + 27$