SHOW YOUR WORK; CIRCLE YOUR ANSWERS
Algebra 2
Name ________________________________
Period _____
Date ________ Seat #: _____
Chapter 4.1-4.4 Practice Test – DUE 10/27/16 or 10/28/16
1. What is
in vertex form?
2. Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of the function
a. Vertex:
b. Axis of symmetry:
c. Maximum/Minimum (identify which one):
d. X or Y intercepts:
e. Domain:
f. Range:
3. Describe the transformations of the function
4. Graph the function
.
a. Label vertex; make a table that shows your calculations for AT LEAST one point to the left or right of the
axis of symmetry.
b. Fill in the following list (put NA if not applicable):
Axis of symmetry:
Maximum or minimum:
Estimate the x-intercepts in (x,y) format:
Domain:
Range:
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5. SHOW ALL WORK: Identify the vertex, the axis of symmetry, the maximum or minimum value, the y
intercept, and the range of the function
a. Vertex:
b. Axis of symmetry:
c. Maximum/Minimum:
d. Y-intercept:
e. Estimate x-intercepts:
f. Domain:
g. Range:
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8. Graph
and note the following
 Vertex: (____,_____)
 Y-intercept: (____,_____)
 X-intercepts: (____,_____) and
(____,_____)
9. Find the equation in vertex form for the parabola:
10. What is the equation of the parabola with vertex
passing through the point
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11. A baseball is hit so that its height above the ground is given by the equation
is the height in feet and t is the time in seconds after it is hit. DRAW A PICTURE!
a. How long does it take the baseball to reach its highest point?
b. How high will it go?
, where h
12. On a suspension bridge, the roadway is hung from cables hanging between support towers. The cable of one
bridge is in the shape of the parabola
, where is the height in feet of the cable above
the roadway at the distance feet from the support tower. DRAW A PICTURE!
(a) What is the closest the cable comes to the roadway?
(b) How far from the support tower does this occur?
_______________________________________________________________________________________
ANSWERS: (1)
(2) (-2,4); x=-2; y=4; y-intercepts: (0,-8); D: all real; R:
(3) 3 left, 7 down, flipped (reflected),and stretched by 4; (4) Vertex (5,-3); Axis: x=5; Min at y=-3;
x-intercepts: (6.5,0) & (3.5,0); D: all real; R:
(5) Vertex (2,-5); Axis: x=2; Min at y=-5; y-intercept (0,3);
x-intercepts: (0.25,0) & (3.25,0); D: all real; R:
(6) 3 (7) 6% (8)Graph faces up with vertex (1.5,0.5); y-int (0,4);
x-intercepts: (1,0) and (2,0). (8)
(10)
(11a) 3 seconds
(11b) 148 ft (12a) 27.5 ft (12b) 35 ft from support tower.
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