Question Re-write the quadratic function below in Standard Form $$ y=5(x-2)^{2}-4 $$ Answer Attempt 1 out of 2 $$ y=\square $$ Submit Answer

Question

UpStudy AI · Accepted Answer

1. Begin with the given function:
   $$
   y=5(x-2)^2-4
   $$

2. Expand the squared term:
   $$
   (x-2)^2 = x^2 - 4x + 4
   $$

3. Multiply the expanded form by 5:
   $$
   5(x^2 - 4x + 4)= 5x^2 - 20x + 20
   $$

4. Substitute back to get:
   $$
   y = 5x^2 - 20x + 20 - 4
   $$

5. Simplify by combining like terms:
   $$
   y = 5x^2 - 20x + 16
   $$

Final answer:
$$
y = 5x^2 - 20x + 16
$$
$$ y = 5x^2 - 20x + 16 $$

Question Re-write the quadratic function below in Standard Form \[ y=5(x-2)^{2}-4 \] Answer Attempt 1 out of 2 \( y=\square \) Submit Answer