Advanced Algebra 1
Name: ________________
Chapter 8 Review Sheet
1. Tell whether this function is quadratic. Explain.
x
2
0
2
4
y
5
1
3
1
2. Identify the vertex of each parabola.
Then give the minimum or maximum
value of the function.
3. Use a table of values to graph each y = x 2  4..
x
2
1
0
1
2
1
2
y
y = 3x 2  8
x
2
1
0
y
4.
Find the zeros of y = x 2  x  6 from its graph to the right.
5. Find the axis of symmetry of the graph of each
a.) y = x 2  12x + 8.
b.) y = 2x 2  20x  40.
6. If you graph, what would be the y-intercept?
a.) y = 5x 2 + 7x  15
b.) 2y + 8 = 6x 2  10x
7. The height of a ball in meters is modeled by f(x) = 5x 2 + 50x, where x
is the time in seconds after it is hit. How long is the ball in the air?
8.
Compare the graph of g(x) =
1 2
x with the graph of f(x) = x 2.
3
9. Use this graph of the quadratic function
y = x 2 + 4x  5 to solve the equation
x 2 + 4x  5 = 0.
10. Solve by factoring.
a.) x 2 + 18 = 11x
b.) 26x + 15 = 8x2
11. Solve using square roots.
a.) 16x 2  1 = 0
b.) (x  5)2 = 36
12. Complete the square to form a perfect square trinomial.
x 2 + 5x + _______________
13. Solve by completing the square.
a.) x 2  6x  13 = 0
b.) 2x 2 + x + 8 = 0
14. Solve using the Quadratic Formula.
a.) 2x 2 + 7x = 8
b.) 3x + 1 = 5x2
16. Find the number of real solutions of the equation using the discriminant.
a.) x 2  18x + 81 = 0
b.) 4x 2 + 6 = 7x