F(x) = x ^ 2 + 6x - 4 in vertex form

f(x) = (x + 3)² - 13

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

Given

f(x) = x² + 6x - 4

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 4

f(x) = (x + 3)² - 13 ← in vertex form

answer: asdfghjkl,mnbv

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: