Algebra 2 Honors: Unit 6 Test Review
Quadratics
Name ______________________________________
Period _______________ Date _________________
I. F-IF.7a Learning Target: I can graph a
quadratic function and identify the major
parts.
II.
F-IF.8a Learning Target: I can identify
different characteristics of a function from
the equation.
1. Graph the function y  x 2  6 x  8 and label the
axis of symmetry, vertex and roots.
3. What is a quadratic function in standard form
having zeroes of 4 and -6?
Answer ______________
4. What is the vertex of
?
Answer ______________
5. Given the equation
. Explain
what you know about the graph. (For full credit
you must describe 5 specific things)
Axis of Symmetry: _____________________
Vertex: _____________
1. _________________________________
_________________________________
_________________________________
Roots: ______________
2. _________________________________
_________________________________
_________________________________
2. Use a graphing calculator to graph the function
f ( x)   x 2  2 . Sketch the graph and label the
vertex and axis of symmetry.
3. _________________________________
_________________________________
_________________________________
4. _________________________________
_________________________________
_________________________________
5. _________________________________
_________________________________
_________________________________
Algebra 2H: Unit 6 Test Review
1/26/13
PUHSD Algebra Curriculum Team
III.
F-BF.3 Learning Target: I can infer hoe
the change in parameters of a quadratic
function transforms the graph.
6.
IV.
9. A person standing at the edge of a 48-foot
cliff tosses a ball up and just off the edge of
the cliff with an initial upward velocity of 8
feet per second. This situation is represent
by the function h(t )  16t 2  8t  48 . State
the domain and range of the function in the
context of the situation.
How would the graph of y  x  2 be
affected if the function were changed to
1
y   x2  4 ?
2
2
Answer _______________________________
______________________________________
______________________________________
7.
F-IF.5 Learning Target: I can interpret
the domain of a graph.
Domain _____________
Range ______________
Compare the graph of f ( x)   x 2 to the
graph of g ( x)  2 x 2  4 .
10. The height y (in meters) a frog can jump can
be modeled by the quadratic function
y  0.615( x  0.5)2  2 where x represents
the horizontal distance jumped (in meters).
State the domain and range of the function
in the context of the situation
Answer _______________________________
______________________________________
______________________________________
______________________________________
8.
Four vases with the same height are
constructed using quadratic equations as
their shapes. Which vase has the widest
opening? Justify your answer.
A. Bowl 1:
B. Bowl 2:
Domain _____________
Range ______________
1 2
x
3
V.
1 2
x
6
C. Bowl 3: 3x
11. Jose graphs a quadratic function. The graph
of her quadratic function passes through the
points (5, 48), (8, 132), (11, 252). Which
quadratic function could be Jose’s function?
2
D. Bowl 4: 6x 2
A.
B.
C.
D.
Answer ______________
Justify ___________________________________
__________________________________________
__________________________________________
Algebra 2H: Unit 6 Test Review
F-BF.1a Learning Target: I can write a
quadratic function from multiple
representations.
y  2 x 2  10 x  11
y  2 x 2  2 x  12
y  3x 2  5 x  45
y  8 x 2  16 x  32
Answer ______________
1/26/13
PUHSD Algebra Curriculum Team
12.
Erin hit a baseball into the air and used a
motion sensor to record the height of the ball
h over time t. She wrote a function to model
her data on an index card. Unfortunately,
Erin’s card became mixed in with cards
made by students conducting other types of
experiments.
VI.
F-IF.9 Learning Target: I can compare
functions shown in two different ways.
14. Function f is graphed below; function g is
1
represented by g ( x)  x 2 .
4
After careful examination, Erin has narrowed
the possibilities to one of these 4 functions.
Which function represents Erin’s experiment?
How do you know?
A.
h  3t 2 ; in Erin’s experiment, the
speed of the ball decreased initially
but then increased.
B.
h  3t 2  30t ; in Erin’s experiment,
the height of the ball increased until
it reached a maximum height and
then decreased
C.
h  t ; in Erin’s experiment, the
height of the ball increased at a
constant rate.
D.
h  30t  3 ; in Erin’s experiment, the
ball started above the ground.
Compare and contrast the functions.
__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
__________________________________________
Answer ______________
13.
What is the equation for the following
graph?
Answer ______________
Algebra 2H: Unit 6 Test Review
1/26/13
PUHSD Algebra Curriculum Team
15.
A portion of the graph of a quadratic
function f(x) is shown below. Selected
values of a linear function g(x) are shown in
the table.
X
0
y
-11
2
4
-13
-15
6
-17
For each comparison below select a symbol
 or  or  that correctly indicates the
relationship between the first and the second
quantity.
First Quantity
comparison
Second
Quantity
The ycoordinate of
the y-intercept
f(x)
The ycoordinate of
the y-intercept
g(x)
f(2)
g(2)
Maximum value
of f(x) on the
interval
10  x  10
Maximum
value of g(x) on
the interval
10  x  10
Algebra 2H: Unit 6 Test Review
1/26/13
PUHSD Algebra Curriculum Team