Re-write the quadratic function below in Standard Form

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Ask by Kelly Munoz. in the United States

Dec 24,2024

Question

Re-write the quadratic function below in Standard Form $$ y=-2(x+4)^{2}+4 $$ Answer Attemn out of 2 $$ y=\square $$ Submit Answer

UpStudy AI · Accepted Answer

To rewrite the quadratic function $$ y = -2(x + 4)^2 + 4 $$ in **Standard Form** $$ y = ax^2 + bx + c $$, follow these steps:

1. **Expand the squared term:**
   $$
   (x + 4)^2 = x^2 + 8x + 16
   $$

2. **Multiply by -2:**
   $$
   -2(x^2 + 8x + 16) = -2x^2 - 16x - 32
   $$

3. **Add the constant term (+4):**
   $$
   -2x^2 - 16x - 32 + 4 = -2x^2 - 16x - 28
   $$

So, the quadratic function in **Standard Form** is:

$$
y = -2x^2 - 16x - 28
$$

**Answer:**
$$
y = -2x^2 - 16x - 28
$$
$$ y = -2x^2 - 16x - 28 $$

Re-write the quadratic function below in Standard Form

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