Move the parabola around and look at the "c-value" in the quadratic function. What appears to be true?
What part of the quadratic equation changes when you move the parabola only left or right?
When the b value is positive it means the vertex of the parabola has...
When is the b value 0?
Does the b value change when the parabola moves up or down?
What does the axis of symmetry value always exactly match?
Why does it make sense that the axis of symmetry value exactly matches the x value of the vertex?
Move the parabola left and right. Compare the b value to the axis of symmetry value. If someone tells you the b value, how do you think you can figure out the axis of symmetry value?