Which equation is equivalent to y = x² + 24x - 18?

1) y = (x + 12) – 162
2) y =(x + 12)² + 126
3) y = (x – 12) – 162
4) y = (x – 12)² + 126

Answer :

(X+12)^2 -18-(24/2)^2

(X+12)^2 -18-144

(X+12)^2-162

Your answer is 1.
abidemiokin

The equivalent expression is y = (x+12)² - 162

Given the equation y = x² + 24x - 18

We are to write the equation in vertex form as shown:

Given

  • y = (x² + 24x) - 18

Complete the square in parenthesis

y = (x² + 24x + (24/2)²) - 18 -  (24/2)²

y = (x² + 24x + (12)²) - 18 -  (12)²

y = (x² + 24x + (12)²) - 18 -  144

y = (x+12)² - 162

Hence the equivalent expression is y = (x+12)² - 162

Larn more on vertex form here: https://brainly.com/question/13912185

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