Question

Plz help me!!!

y=-2|x+4|+4
List the x-intercept(s) - I think it's (-6, 0), (-2, 0)
List the y-intercept(s) - I think it's (0, -4)

I really need help quick plz!!!

Answer 1

Both your answers are correct.

Answer 2

can u show your work plz bc I'm confused

Answer 3

so, where did you get your answers? Where is <u>your</u> work?

y=-2|x+4|+4
x-intercepts:
-2|x+4|+4 = 0
-2|x+4| = -4
|x+4| = 2
x+4 = ±2
x = -4±2

Now you do the y-intercept (where x=0)

Answer 4

x-intercepts are the points where y = 0

In this case:

y = - 2 | x + 4 | + 4 = 0

Subtract 4 to both sides

- 2 | x + 4 | = - 4

Divide both sides by - 2

| x + 4 | = 2

Two solutions are possible

x + 4 = 2

because | 2 | = 2

and

x + 4 = - 2

because | - 2 | = 2

1 case:

x + 4 = 2

Subtract 4 to both sides

x = - 2

2 case:

x + 4 = - 2

Subtract 4 to both sides

x = - 6

You still know y = 0 so x-intercepts are:

( - 6 , 0 ) , ( - 2 , 0 )

y-intercepts are the points where x = 0

In this case:

x = 0

| 4 | = 4

so:

y = - 2 | x + 4 | + 4

y = - 2 | 0 + 4 | + 4 = - 2 ∙ | 4 | + 4 = - 2 ∙ 4 + 4 = - 8 + 4 = - 4

You still know x = 0 so y-intercepts are:

( 0 , - 4 )