Answer:
y = (x + 9)² - 83
Explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = x² + 18x - 2
Obtain vertex form by using the method of completing the square
add/subtract (half the coefficient of the x- term )²
y = x² + 2(9)x + 81 - 81 - 2
= (x + 9)² - 83