Question

I need to check if the vertex is right-- y>-3|-x-4|+4

Is the vertex (4,-4) or am I way off?

I also need to graph this (preferably using an x y chart so if it's alright could someone also please clarify how exactly you use one? Thanks!

Answer 1

y = -3|-x-4|+4


y = -3|-1(x+4)|+4


y = -3|-1|*|x+4|+4


y = -3*1*|x+4|+4


y = -3|x+4|+4


y = -3|x-(-4)|+4


This equation is now in the form y = a|x-h| + k where the vertex of this general equation is (h,k)


Since in this case, h = -4 and k = 4, the vertex is (-4, 4)

Answer 2

Because a = -3, which is negative, we know that this V shaped graph will open downward

Answer 3

To graph y = -3|-x-4|+4, you need a series of points

To get any point, you plug in a number for x to get a corresponding value for y

example

when x = 0, y is...

y = -3|-x-4|+4

y = -3|-0-4|+4 ... replace x with 0 (since x = 0)

y = -3|0-4| + 4

y = -3|-4| + 4

y = -3(4) + 4

y = -12 + 4

y = -8

meaning that the point (0,-8) is on the graph

Answer 4

you repeat this for other x values to get other points (the more points, the more accurate the graph is)

Answer 5

Alright, thanks so much!

Answer 6

you're welcome