SOLUTION: What is the vertex of the graph for the equation y=|2x-4|-9?

Algebra ->  Graphs -> SOLUTION: What is the vertex of the graph for the equation y=|2x-4|-9?      Log On


   



Question 66379: What is the vertex of the graph for the equation y=|2x-4|-9?
Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the vertex of the graph for the equation y=|2x-4|-9?
------------
The least value |2x-4| can take is zero.
When does that happen?
It happens when 2x-4=0 or x=2
And when x=2, y=0-9=-9
------------
That is the vertex: (2,-9)
Cheers,
Stan H.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
y = |2x - 4| - 9
form: y = a|bx - h| + k
vertex: (-h/b,k)
vertex: (2,-9)
graph%28300%2C300%2C-7%2C7%2C-10%2C10%2Csqrt%28%282x+-+4%29%5E2%29+-+9%29