1. Warm Up

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

6. 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

7. 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 – Substitute h = 2 and k = –5.
–3 = a(0 – 2)2 – 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

8. Practice
Write the equation of:

9. Practice
Write the equation of:

10. Practice
Write the equation of:

11. (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

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