SOLUTION: find the vertex and axis of symmetry and graph the function h(x)=x^2-5x

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Question 263007: find the vertex and axis of symmetry and graph the function
h(x)=x^2-5x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=x%5E2-5x
A good thing to remember is that the
vertex and axis of symmetry are half-way
between the roots (solutions for h%28x%29+=+0)
x%5E2+-+5x+=+0
x%2A%28x+-+5%29+=+0
The solutions are x+=+0,x+=+5
Half-way between is x+=+5%2F2
Now solve for h%28x%29
h%28x%29+=+%285%2F2%29%5E2+-+5%2A%285%2F2%29
h%28x%29+=+25%2F4+-+25%2F2
h%28x%29+=+25%2A%281%2F4+-+2%2F4%29
h%28x%29+=+-25%2F4
So, the vertex is at (5/2, -25/4)
The axis of symmetry is x+=+5%2F2
+graph%28+500%2C+500%2C+-3%2C+8%2C+-8%2C+8%2C+x%5E2+-+5x%29+