Discover the Axis of Symmetry Formula
Move the sliders for the values of A, B, and C in the quadratic equation. You can also enter values between 0 and 10 into the boxes for these values. See what different values of A, B, and C do to the Quadratic Equation in blue and its Axis of Symmetry in red.
We want to figure out the formula for the axis of symmetry of a quadratic equation.
How does the value of C in our quadratic equation affect the axis of symmetry?
Make A=1 in the quadratic equation. Move Slider B to different values. If A = 1, what is the formula for the axis of symmetry?
Now, move Slider A to a value not equal to 1. Move Slider A and Slider B around. What is the formula for the axis of symmetry for any value of A, B, and C?