Explore: Quadratic Equation in Vertex Form

• (1) Drag the "a" slider. What happens when you drag it to the left? right?

• (2) Drag the "h" slider. What happens when you drag it to the left? right?

(3) Drag the "k" slider. What happens when you drag it to the left? right?

(4) Drag the slider or type in the values of "a", "h", and "k" for your polynomial birthday equation in vertex form. What is the vertex?

(5) What is the axis of symmetry? x = ?

(6) What is the vertex?

(7) What is maximum or minimum value of your polynomial birthday equation?

(8) What are the x-intercepts/zeros/roots of your polynomial birthday equation?