Question

Find the vertex form of y=(x+2)(x-3)

Answer 1

Answer:

y = (x - $\frac{1}{2}$ )² - $\frac{25}{4}$

Step-by-step explanation:

Given

y = (x + 2)(x - 3) ← expand factors

  = x² - x - 6

Use the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - x

y = x² + 2(- $\frac{1}{2}$) x + $\frac{1}{4}$ - $\frac{1}{4}$ - 6

  = (x - $\frac{1}{2}$ )² - $\frac{25}{4}$