EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Warm-Up Please.

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Presentation transcript:

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Warm-Up Please log into your calculator to be able to do the warm-up.

Completing the Square Essential Question: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes.

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Steps to Solving by Completing the Square Example: 2x x + 14 = 94

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Some important notes… Sometimes completing the square is used to change an equation into standard form, if this is the case you will be able to stop after step 4. When doing step 4, the binomial squared will always have the form (x + or - #) 2 To decide if it is + or – look at the equation in step 3, if the b is positive it will be a + and if the b is negative it will be a - To decide what the # is divide b by 2.

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Example: Solve the following by completing the square. 3x 2 + 6x – 18 = 0

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Example: Solve the following by completing the square. 2x 2 + 8x -7 = 0

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Vertex Form: y=a(x-h) 2 +k

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Example: Put the following equation into vertex form. Y = x 2 – 10x +21

EQ: How can you use completing the square to put a quadratic equation in vertex form? Demonstrated in writing on example problems in notes. Homework: Add summary to notes that answers the essential question “how can you use completing the square to put a quadratic equation in vertex form?”