Question

Am I right?

What is the vertex of the graph of y = 2|x – 3| + 5?

My answer is (0,-1).

Answer 1

l;;;;;;
44444444

Answer 2

wut.

Answer 3

ahemm

Answer 4

@TheHero still there?

Answer 5

Use the definitions of |x| to express the funtion as two ecuations:
|x| ={ x if x≥0
{-x if x<0

So in this case

2|x – 3| + 5={ 2x-6+5 = 2x-1 if x≥3
{ 6-2x+5 = 11-2x If x<3
So you have the ecuations of two lines with opposite slopes (2x-1 has positive slope and 11-2x has negative slope).
So the vertex must be the intersection between the line.An we can get the x corrdinate of the vertex by solving the ecuation:

2x-1 = 11-2x

Answer 6

Does that mean I'm right?

Answer 7

lol

Answer 8

That mean that the vertex is the pont (3,5)

Answer 9

@TheHero what's the expression inside the absolute value?

Answer 10

Oh.... Well, thanks ;~;

Answer 11

Welcome