SOLUTION: Scetch the graph of the quad function. Give the vertex and axis of symmetry. f(x)=x2-2x-8

Algebra ->  Algebra  -> Graphs -> SOLUTION: Scetch the graph of the quad function. Give the vertex and axis of symmetry. f(x)=x2-2x-8      Log On

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Question 78746: Scetch the graph of the quad function. Give the vertex and axis of symmetry.
f(x)=x2-2x-8
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given equation is:

+f%28x%29+=+x%5E2+-+2x+-+8+

This can be written as:


f%28x%29+=+y+=+x%5E2+-+2x+-+8+


+y+=+x%5E2+-+2x+%2B+1+-+1+-+8+

+y+=+%28x+-+1%29%5E1+-+9+

From this equation we observe that the equation of symmetry is x = 1 and it is a parabola facing above (or concave upwards)

The vertex of this graph is (-9,1) and the graph of this is plotted as shown below.

+graph%28+400%2C+400%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2+-+2x+-+8%29+


I hope the solution is quite clear and if you have any queries you can get back to me.

Regards
Chitra