Do Now #10 Factor the quadratic 2. Then graph the quadratic function.

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Presentation transcript:

Do Now #10 Factor the quadratic 2. Then graph the quadratic function.

Quadratic Function Function with variables that have a power of 2 Standard form of quadratics ax2+bx+c=0 Where a, b, and c are real numbers and a 0

x – intercepts *Solutions *Roots *Zeroes The Solutions to a Quadratic Equation can be referred to as ANY of the following: x – intercepts *Solutions *Roots *Zeroes

Factoring Quadratic The solution (or roots or zeros) are found by factoring our Quadratic function. Two ways to factor quadratic functions. Quadratic formula. Diamond and Xbox method

Quadratic Formula Quadratic formula Where you take the coefficients out of the standard form of the quadratic function and substitute the values into the quadratic formula

example 2x2-5x-3 ax2+bx+c

Example Continued

Diamond & Xbox Method The Diamond method provides another systematic way to factor second degree polynomial in the form of ax2+bx+c.

Diamond and Xbox Method Continued Both of these methods must be used together to find the exact binomial used to create the polynomial.

Example 2x2-5x-3

Graphing Quadratics Graphing with quadratics can be difficult but there is an easy way to do this by using a Table.

Example 2x2-5x-3 X y

Stations Graphing Quadratics Students will work on problems focused around graphing ordered pairs that they will get from substituting values in for x. Factoring Quadratics Students will work on problems focused around factoring quadratic equation using the ac and basement method or Xbox method. CFS: Students will complete one problem of each level on the worksheet with 100% accuracy.

Reflection Were you able to meet the Criteria For Success (CFS)? What do you rank yourself from 1-4 with factoring quadratics and why? What do you rank yourself from 1-4 with graphing quadratics and why? What will you do next to increase your self ranking?