Question

Help. also coordinates for graph

Answer 1

A. Vertex (-3, -1)

B. y-intercept: (0, 8)

C. x-intercept: (-2, 0), (-4, 0)

D. Domain: (-∞, ∞)

E. Range: [-1, ∞)

F. x = -3

G. Coordinates:

(-5, 3)

(-4, 0)

(-3, -1)

(-2, 0)

(-1, 3)

Explanation:

y = x² + 6x + 8

(x + 2) (x + 4)

x + 2 = 0 x + 4 = 0

-2 -2 -4 -4

x = -2 x = -4

x-intercept: (-2, 0), (-4, 0)

y-intercept: (0, 8)

y = x² + 6x + 8

y = (0)² + 6(0) + 8

y = 8

Vertex:

a b c

y = x^2 + 6x + 8

-b -(6) -6

x = ------- = ------ = ------ = -3

2a 2(1) 2

y = x^2 + 6x + 8

y = (-3)^2 + 6(-3) + 8

y = 9 - 18 + 8 = -1

Vertex: (-3, -1)

Graph:

(I'm gonna try my best to draw it)

10-

9-

8-

7-

6-

5-

4-

3-

2-

↑ ↑ 1-

--*---|-----*------|-------|-----|-----|-----|------|------|-----|-------|------|-------|------|

-4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10

* -1 -

-2 -

-3 -

-4 -

-5 -

-6 -

-7 -

-8 -

-9 -

-10 -

Range: (y-axis)

Min is y = -1

[-1, ∞)

I hope this helps!