Warm Up .

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Graph an equation of a parabola

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Presentation transcript:

Warm Up

Transforming Parabolas Graph y = (x + 1)2 – 2. 2 3

Practice (on whiteboards) Graph 1. y = ½ ( x – 3)² -5 2. y = -2(x + 4)² + 2 3. y = 3( x + 2)² - 4 4. y = - ¾( x – 6)² + 2

Write the equation of the parabola shown below. Transforming Parabolas LESSON 5-3 Additional Examples Write the equation of the parabola shown below. y = a(x – h)2 + k Use the vertex form. y = a(x – 2)2 – 5 Substitute h = 2 and k = –5. –3 = a(0 – 2)2 – 5 Substitute (0, –3). 2 = 4a Simplify. = a Solve for a. 1 2 The equation of the parabola is y = (x – 2)2 – 5. 1 2

Practice Write the equation of:

Practice Write the equation of:

Practice Write the equation of:

(remember those good times?) x² + 6x -2 = 4 A little review from Algebra 1…. Completing the square (remember those good times?) x² + 6x -2 = 4

homework L5.3 (p 258) #2-16e 28-34e