Question

The vertex form of the equation if a parabola is y = 3(x - 4)^2 - 22. What is the standard form of the equation?

Answer 1

Answer:

The answer is (C) Y = 3x² - 24x + 18

Step-by-step explanation:

Y = 3(x-4)² - 22

First step is to simplify (x-4)²

⇒ Y= 3(x-4)(x-4)-22

⇒ Y= 3(x²- 4x - 4x + 16) - 22 = 3(x² - 8x + 16) - 22

Next step is to open the parenthesis

⇒ Y = 3x² - 24x + 48 - 22

The final step is to collect like terms and simplify the equation

⇒ Y = 3x² - 24x + 26