Question Re-write the quadratic function below in Standard Form $$ y=-9(x-1)^{2}-6 $$ Answer Atcompt 1out of 2 $$ y=\square $$ Submit Answer

Question

UpStudy AI · Accepted Answer

1. Begin with the given function:
   $$
   y=-9(x-1)^2-6
   $$

2. Expand the squared term:
   $$
   (x-1)^2 = x^2 - 2x + 1
   $$

3. Substitute the expansion back into the function:
   $$
   y=-9(x^2 - 2x + 1)-6
   $$

4. Distribute $$ -9 $$ across the terms inside the parentheses:
   $$
   y = -9x^2 + 18x - 9 - 6
   $$

5. Combine the constant terms:
   $$
   -9 - 6 = -15
   $$
   Therefore:
   $$
   y = -9x^2 + 18x - 15
   $$

6. The quadratic function in standard form is:
   $$
   \boxed{y = -9x^2 + 18x - 15}
   $$
$$ y = -9x^2 + 18x - 15 $$

Question Re-write the quadratic function below in Standard Form \[ y=-9(x-1)^{2}-6 \] Answer Atcompt 1out of 2 \( y=\square \) Submit Answer