Thread: solving vertex of absolute value

Can anybody help me on this...


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


how is it possible to be solve?


Thanks

You want to write it in the form:

, where is a constant.

Then, the point is the vertex.

Originally Posted by MarkFL2

You want to write it in the form:

, where is a constant.

Then, the point is the vertex.

do you mean that y = 2 – | 2x – 3| can be y = – | 2x – 3| + 2,,, and so the h = 3 and k = - 2 ? it this correct sir?

Originally Posted by rcs

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

I assume that by vertex yiou mean the 'sharp' point on the graph.

That would be the maximum which occurs if .

Draw the graph! You will see why.

Originally Posted by rcs

do you mean that y = 2 – | 2x – 3| can be y = – | 2x – 3| + 2,,, and so the h = 3 and k = - 2 ? it this correct sir?

No, I mean write it as

How did you get y = -2 |x - 3/2| + 2 ... When the original was y = 2 - |2x-3| sir?