1. Graph y = -5x2 – 2x + 3 and find the following:
Warm Up
Graph y = -5x2 – 2x + 3 and find the following:
Vertex
Axis of Symmetry
Y-intercept
X-intercept

2. HW Check 5.1

3. Section 5.3 - Translating Parabolas

4. Standard form vertex

5. Find the vertex of y = x2 – 4x + 6

6. Vertex Form
Graph the following functions. Identify the vertex of each. 1. y = (x – 2)2 2. y = (x + 3)2 – 1 3. y = -3(x + 2) y = 2(x + 3)2 + 1

7. Vertex of Vertex Form
The Vertex form of a quadratic equation is a translation of the parent function
y = x2

8. Vertex of Vertex Form

9. Identifying the Translation
Given the following functions, identify the vertex and the translation from y = x2
y = (x + 4)2 + 7
y = -(x – 3)2 + 1
y = ½ (x + 1)2
y = 3(x – 2)2 – 2

10. Writing a Quadratic Equations

11. Try one!
Write an equations for the following parabola.

12. One More!
Write an equation in vertex form: Vertex (1,2) and y – intercept of 6

13. Converting from Standard to Vertex form
Things needed: Find Vertex using x = -b/2a, and y = f(-b/2a) or by graphing in the calculator. This is your (h, k). Then use the the a from standard form.

14. Example
Convert from standard form to vertex form.
y = -3x2 + 12x + 5

15. Example
Convert from standard form to vertex form.
y = x2 + 2x + 5

16. Try Some!
Convert each quadratic from standard to vertex form.
y = x2 + 6x – 5
y = 3x2 – 12x + 7
y = -2x2 + 4x – 3

17. Word Problems
A ball is thrown in the air. The path of the ball is represented by the equation h = -t2 + 8t. What does the vertex represent? What does the x-intercept represent?

18. Word Problems
A lighting fixture manufacturer has daily production costs of C = .25n2 – 10n + 800, where C is the total daily cost in dollars and n is the number of light fixture produced. How many fixtures should be produced to yield minimum cost.