Quick Question 1 Think quick write down everything

Quick Question: 1. Think quick…. write down everything you know about quadratic equations: 2. Find the zeroes of this equation: 2 -7 q + 2 q + 9 = 0

Quadratic Equations: 1. Contain an x 2 as its highest variable term. 2. Can be written in the standard form shown here at the right. 3. Does not have a zero for the value of a. 4. Has a graph shaped as a parabola. 5. Can have 1, 2, or 0 x-intercepts. 6. Symmetrical 7. Can open up or open down 8. Have factors 9. Quadratic Formula can find factors

Today’s Objective: I can use the quadratic formula for solve for x.

Question # 1: Can you factor this? 2 -7 q + 2 q + 9 = 0

The quadratic formula: Memorize this!

For this formula to work, the quadratic equation must be in standard form.

This part is called the discriminant.

What kind of discriminant would the yellow graph have? Discriminant = 0, there is one root.

What kind of discriminant would the green graph have?

What kind of discriminant would the purple graph have?

Quadratic Practice: Check for standard form: -7 q 2 + 2 q + 9 = 0 a b c Substitute: Solve the red box and the green circle separately; then return to original equation.

(-2) 2 (-2) -4(7)(-9) 4 +252 -14 Solve the red box and the green circle separately; then return to original equation. 16 16 16

Find the roots of this equation: 2 x 2 + x – 15 = 0 a b c X-box factoring doesn’t work. Write the Quadratic Formula: (-1)2 – 4(2)(-15) Solve: 2(2)

Find the roots of this equation: x 2 + 2 x = 2 x 2 + 2 x - 2 = 0 a b c Write the Quadratic Formula: ( 2)2 – 4(1)(-2) Solve: 2(2)

Assignment: Who Done It? Due Tuesday!!