Answer :
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