Download Review Sheet 8.1-8.3

Advanced Algebra 1
Name: __________________
Review Sheet 8.1-8.3
Tell whether each function is quadratic. Explain.
2. 3x  2y  8
1.( 0, 6), (1, 12), (2, 20), (3, 30)
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Use a table of values to graph each quadratic function.
3. y  1 x 2
x
2
x
4
y
y
y  2x2  3
Tell whether the graph of each quadratic function opens upward or downward.
Explain.
5.y  3x2  5
6. x2  y  8
For each parabola, a) identify the vertex; b) give the minimum or maximum value of
the function; c) find the domain and range.
7.
8.
Find the zeros of each quadratic function from its graph.
1.
2.
3
Find the axis of symmetry of each parabola.
4. .
5.
6
For each quadratic function, find the axis of symmetry of its graph.
7.y
3x 2  6x  4
8. y  x 2  4x
9. y  4x2 
1
x 3
2
Find the vertex of each parabola.
10.y
3x 2  6x  2
11. y  3x 2  12x  10
Graph each quadratic function. Make sure you identify axis of
symmetry, vertex, and the direction it opens first!
1. y  x 2  4x  4
2. y  2x2  4x  6  0
3. The height in feet of a soccer ball that is
kicked can be modeled by the function
f(x)  8x2  24x, where x is the time in
seconds after it is kicked. Graph this function.
Find the soccer ball’s maximum height and the
time it takes the ball to reach this height. Then
find how long the soccer ball is in the air.
maximum height: ___________________________
time to reach maximum height: ______________
time in the air: ______________________________
12. y  x 2  2x  35