SOLUTION: I would appreciate help with this equation. Identify the axis of symmetry, creat a suitable table of values, the sketch the graph (including the axis of symmetry). y = x^2-4x

Question 43569: I would appreciate help with this equation.
Identify the axis of symmetry, creat a suitable table of values, the sketch the graph (including the axis of symmetry).
y = x^2-4x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Identify the axis of symmetry, creat a suitable table of values, the sketch the graph (including the axis of symmetry).
y = x^2-4x
Put in vertex form by completing the square:
y+4=x^2-4x+4
y+4=(x-2)^2
Vertex is at (2,-4)
So, axiis of symmetry is the line x-2.
Sketch the graph:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, 0. Here's your graph:

Cheers,
Stan H.
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