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2. Unit 1 Test Review
Graphing Quadratics

3. Question #1a
Evaluate the expression for the following values of a and b:
**Don’t forget to simplify.
a = - 4, b = 8

4. Question #1b
Evaluate the expression for the following values of a and b:
**Don’t forget to simplify.
a = -7, b = 112

5. Question #2a
Write the coordinates of the vertex in the graph. Is the vertex a minimum or maximum?

6. Question #2b
Write the coordinates of the vertex in the graph. Is the vertex a minimum or maximum?

7. Question #3 Graph f(x) = 2x2 + 4x – 1 What is the range?
y ≥ -3 OR (-3,∞) y x

8. Question #3 Identify the characteristics of f(x) = 2x2 + 4x - 1
Vertex: __________________
Axis of Symmetry: _________________
Zero(s): _________________________
Domain: _________________________
Range: __________________________
Interval of Increase: ________________
Interval of Decrease: _______________
Rate of Change on -3 ≤ x ≤ -2: _________
Vertex: (-1, -3)
Axis of Symmetry: x = -1
Zero(s): and .25
Domain: (-∞, ∞)
Range: [-3, ∞)
Interval of Increase: (-1, ∞)
Interval of Decrease: (-∞, -1)
Rate of Change on -3 ≤ x ≤ -2: -6

9. Question #4 Axis of Symmetry: x = 2 Vertex: ( 2, 2)
Find the axis of symmetry and vertex of y = 2x2 – 8x + 10:
Axis of Symmetry: x = 2
Vertex: ( 2, 2)

10. Question #5
Firework displays are made up of “stars” that are ignited and projected into the air. Suppose a “star” is projected at a starting height of 480 ft with a velocity of 72 ft/s. The equation h(t) = -16t2 + 72t gives the star’s height h in feet at time t in seconds.
a) Find the vertex.
b) What is the maximum height of the star?

11. Question #5
Firework displays are made up of “stars” that are ignited and projected into the air. Suppose a “star” is projected at a starting height of 480 ft with a velocity of 72 ft/s. The equation h(t) = -16t2 + 72t gives the star’s height h in feet at time t in seconds.
a) Vertex: (2.25, 561)
b) 561 feet

12. Question #6
Over what interval is the graph increasing and decreasing? Increase: (1, ∞) Decrease: (-∞, 1) * Remember, always use the X value of your vertex

13. Question # 7 How many real roots does each graph have?2
The parabola crosses
the x axis twice
The parabola does not
cross the x-axis 1
The parabola touches once

14. Question #8
What is the range of the graph below? y ≥ -4 OR (-4, ∞)

15. Question #9
What is the domain of the graph? (-∞,∞)

16. Question #10
Which of the following means the same as “all real numbers less than or equal to -9”
(9, ∞)
(∞, -9)
(9, -∞)
(-∞, -9] D

17. Test Next Class!
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