Question

Please help me solve and show all steps, thank you!!!

Answer 1

y = -2x² + 12x - 14

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