# Factor and Solve: x² - 6x – 27 = 0 4x² - 1 = 0 - PowerPoint PPT Presentation

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Warm Up. Factor and Solve: x² - 6x – 27 = 0 4x² - 1 = 0 Convert to Vertex Format by Completing the Square (hint: kids at the store) 3. Y = 3x² - 12x + 20. I can write a quadratic equation given solutions from the graph. Identify the 3 forms of a quadratic equation:.

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Factor and Solve: x² - 6x – 27 = 0 4x² - 1 = 0

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#### Presentation Transcript

Warm Up

Factor and Solve:

• x² - 6x – 27 = 0

• 4x² - 1 = 0

Convert to Vertex Format by Completing the Square (hint: kids at the store)

3. Y = 3x² - 12x + 20

## I can write a quadratic equation given solutions from the graph

### Identify the 3 forms of a quadratic equation:

Standard Formatax² + bx + c

*** c is where the graph crosses the y axis ***

Vertex Formaty = a(x – h)² + k

*** gives the vertex (h, k) ***

Intercept Formaty = a(x – p)(x – q)

*** gives the roots, zeros or solutions of the graph ***

### Write a quadratic equation in standard form that has the given solutions and passes through the given point.

Which quadratic format is best to use given the roots of the graph?

INTERCEPT FORMy=a(x – p)(x – q)

Step 1:

Step 2:

Use the other given point (-4, 3) to find A

3 = a (-4+1)(-4 + 3)

Replace y

With 3

Replace x

With -4

### A quadratic equation has roots of {-1, -3} and passes though (-4, 3).

3 = a (-4+1)(-4 + 3)

Step 3:

Step 4: