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1. Solve the following equation:
2x 2 − 5x − 12  0
2. Solve the following equation by using the quadratic formula:
x 2 − 4x  10
3. Label the vertex, x and y intercepts, and state the domain and range for the
following graph:
y
40
30
20
10
-10
-8
-6
-4
-2
2
-10
4
6
8
10
x
-20
-30
-40
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4. Find the vertex, x and y intercepts, and sketch a graph of the following equation:
fx  x 2 − 4x − 12
y
x
5. Sketch a graph of the following function. Find the domain and range:
fx  x − 3  1
y
x
3
6. Sketch a graph of the following function:
fx  2|x − 5| − 3
y
x
7. Graph the following function and state the domain and range. (I suggest plotting
points for this one):
fx  −3 5 − x  2
y
x
5
8. Find the perfect square trinomial whose first two terms are given and then factor:
x 2 − 5x
9. Find b 2 − 4ac and the number of real solutions to the following equation:
x 2  2x  10  0
10. Write a formula that expresses the relationship described:
y varies directly with cube of x and inversely with z
7
11. Sketch a graph of the following function:
fx  −|x  2| − 5
y
x
12. Find the proportionality constant and write a formula that expresses the indicated
variation:
y varies inversely with x, and y  12 when x  2 2
8
13. Determine whether the graph of this function opens up or down. Then find the
vertex and the minimum or maximum value of the function. You do not need to graph:
fx  −2x 2  5x  12
14. The weight of an iguana is directly proportional to its length. If a 4-foot iguana
weighs 30 pounds, then how much should a 5-foot iguana weigh? SHOW ALL WORK
OR NO CREDIT.
15. Solve the following quadratic equation using the quadratic formula:
−3x 2  2x − 5  0
9