1. Do Now:
A parabola has an axis of symmetry y = 3 and passes through (2,1). Find another point that lies on the graph
Identify the focus, directrix, and axis of symmetry of x = 2y2

2. Do Now:
A parabola has an axis of symmetry x = 3 and passes through (2,1). Find another point that lies on the graph

3. Review Chapter 2

4. Write a rule for g

5. Write an Equation Points: (-1,0), (5,3), (7,0)
Passes through (1,12) and has a vertex (10,-4)

6. Graph: y = 3x2 – 6x + 4

7. Graph: y = -(x +3)2 + 5

8. Graph: y = 2(x+3)(x-1)

9. Write an Equation Vertex: (10,-4); passes through (1,12)
Points: (-1,0), (5,3), (7,0)
Passes through (4,3); x-intercepts of -1 and 5

10. Calculator
Explain why a quadratic function models the data. Then find the model. 1) 2) x 2 4 6 8 10
f(x)
-13
-34
-63
-100
Year, t 1 2 3 4 5
Price, p
$603.46
$695.39
$871.96
$972.35 $ $

12. An object is launched directly overhead at 36 meters per second
An object is launched directly overhead at 36 meters per second. The height (in meters) of the object is given by h(t) = -16t2 + 36t + 5where t is the time (in seconds) since the object was launched. How long is it in the air? How high does it get? When is it at its highest? For how many seconds is the object at or above a height of 25 meters?

13. Write an Equation Vertex: (-3,2) Focus: (-3,-5)
Points: (-1,0), (5,3), (7,0)
Directrix: x = -2 vertex: (2,0)

14. Example 2 A meteorologist creates a parabola to
predict the temperature tomorrow, where x
is the number of hours after midnight and y
is the temperature (in degrees Celsius).
a. Write a function f that models the
temperature over time. What is the coldest
temperature?
b. What is the average rate of change in
temperature over the interval in which the
temperature is decreasing? increasing?
Compare the average rates of change.

15. Word Problem
An electricity-generating dish uses a parabolic reflector to concentrate sunlight onto a high-frequency engine located at the focus of the reflector. The sunlight heats helium to 650°C to power the engine. Write an equation that represents the cross section of the dish shown with its vertex at (0, 0). What is the depth of the dish?