1. Quadratics The short cuts

2. WARNING! These shortcuts only work for equations that have a highest exponent of 2! No more, no less!

3. Ordering Make sure that your equation is in order! The variables should match the format below: ax 2 +bx+c = y Then, note the values of a, b, and c. Reorder the following and note the a, b, and c values: 1.5x 2 +2x+10 = y 2.3x 2 = y -9 +1x 3.x 2 +1 = y+2x 4.+3x-2 = y - 5x 2

4. To find axis of Symmetry (Ex 1) 1.ID your a, b, c values 2.Use the formula below to find the axis of symmetry. 3.Now express it in the proper form: “x = blah-blah”

5. To find axis of Symmetry (Ex 2) 1.ID your a, b, c values 2.Use the formula below to find the axis of symmetry. 3.Now express it in the proper form: “x = blah-blah”

6. To find Vertex (Ex 1)) 1.Find the x – value: 2.Now plug it into the original equation to find your y – value.

7. To find Vertex (Ex 2) 1.ID your a, b, c values 2.Use the formula below to find the x - value. 3.Now plug it into the original equation to find your y – value.

8. To find Roots 1.ID your a, b, c values 2.Use the formula below to find the x – values of the roots. Remember your Order of Operations!!!!! Work under the square root first, then split into to equations, and then solve. Remember that EVERYTHING is above the 2a – Dividing by 2a should be the LAST STEP!

9. To find Roots (Ex 1)

10. To find Roots (Ex 2)

11. Answer Formats Remember that your answer needs to be formatted correctly! –Vertex = given as a coordinate point! (#, #) –Axis of Symmetry = given as an equation: x = blah –Roots = given as 2 numbers! Use either: x = # or x = # x = {#, #}