Question Re-write the quadratic function below in Standard Form $$ y=-2(x+4)^{2}+4 $$ Answer Attempt 1 out of 2

Question

UpStudy AI · Accepted Answer

1. Start with the given function:  
   $$
   y = -2(x+4)^2 + 4
   $$

2. Expand the square:  
   $$
   (x+4)^2 = x^2 + 8x + 16
   $$

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

4. Add 4:  
   $$
   y = -2x^2 - 16x - 32 + 4 = -2x^2 - 16x - 28
   $$

The quadratic function in standard form is:  
$$
y = -2x^2 - 16x - 28
$$
The quadratic function in standard form is $$ y = -2x^2 - 16x - 28 $$.

Question Re-write the quadratic function below in Standard Form \[ y=-2(x+4)^{2}+4 \] Answer Attempt 1 out of 2