Answer:
y = -2x² + 12x - 14
Step-by-step explanation:
Isolate the "-2" in (x - 3)² by using brackets:
- ⇒ y = -2(x - 3)² + 4
- ⇒ y = -2[(x - 3)²] + 4
Using the formula (a - b)² = a² - 2ab + b²:
- ⇒ y = -2[(x - 3)²] + 4
- ⇒ y = -2[x² - 2(x)(3) + 3²] + 4
Open the brackets on the R.H.S
- ⇒ y = -2[x² - 6(x) + 9] + 4
- ⇒ y = -2x² + 12(x) - 18 + 4
Simplify the expression on the R.H.S
- ⇒ y = -2x² + 12(x) - 18 + 4
- ⇒ y = -2x² + 12x - 14
