Question

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

Explanation:

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

Using the formula $(a + b)^2=a^{2}+2ab + b^{2}$, where $a = x$ and $b = 4$. So, $(x + 4)^2=x^{2}+8x + 16$. Then $y=2(x^{2}+8x + 16)-5$.

Step2: Distribute the 2

Multiply each term inside the parentheses by 2. $y = 2x^{2}+16x+32 - 5$.

Step3: Combine like - terms

Combine the constant terms 32 and - 5. $y=2x^{2}+16x + 27$.

Answer:

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