Algebra 1 Spring 2015
Quadratic Unit Practice Test
Name _________________________________
Block ________
Date _____________
F.LE.1 Distinguish between situations that can be modeled with linear functions and with
exponential functions.
1. In words, describe the pattern for each table. Then select which function family it belongs
too.
x
0
1
2
3
4
y
1
4
16
64
256
x
0
1
2
3
4
y
2
5
8
11
14
x
0
1
2
3
4
y
0
3
9
18
30
Pattern:
Function Family (circle):
linear / exponential / quadratic
Pattern:
Function Family (circle):
linear / exponential / quadratic
Pattern:
Function Family (circle):
linear / exponential / quadratic
Sum It Up
I can identify a linear function from a table by….
I can identify an exponential function from a table by….
I can identify a quadratic function from a table by….
Algebra 1 Spring 2015
Quadratic Unit Practice Test
F.BF.1 Write a function that describes a relationship between two quantities.★
2. Use the pattern shown in the figures below. All triangles are congruent (same size)
a) Draw figure #4 of the pattern on the line.
Figure #4
b) Complete the table using the figures above.
c) Describe the pattern of the table. How do you get the
next value?
d) What function family does this pattern belong to?
e) Write an algebraic rule to represent the relationship between the figure number, n, and the
number of unshaded rectangles, r.
Sum It Up
Algebra 1 Spring 2015
Quadratic Unit Practice Test
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k)
for specific values of k (both positive and negative); find the value of k given the graphs.
Experiment with cases and illustrate an explanation of the effects on the graph using
technology. Include recognizing even and odd functions from their graphs and algebraic
expressions for them
3. The parent quadratic function 𝑦 = 𝑥 2 is given on the graph.
a. Sketch and describe all transformations that moved that parent graph to
𝑦 = −𝑥 2 + 3. Use your math language!
b. Sketch and describe all transformations
that moved the parent graph to
1
𝑦 = 2 𝑥 2 − 5.
Sum It Up
In the general form of a quadratic function 𝑦 = 𝑎𝑥 2 + 𝑐…
…the a value
…the c value
Algebra 1 Spring 2015
Quadratic Unit Practice Test
F.IF.7 Graph functions expressed symbolically and show key features of the graph, by
hand in simple cases and using technology for more complicated cases.★
a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
4) Sketch the graph of the quadratic function and identify key features. Give all points as
ordered pairs (x,y).
𝑦 = 𝑥2 − 𝑥 − 6
a. y-intercept:_____________
b. x-intercepts:____________
c. Axis of symmetry:__________
d. Vertex:__________
e. Does this graph have a Maximum or
Minimum?
f. How can you find the solutions to the equation
𝑥 2 − 𝑥 − 6 = 0 using your graph only?
Sum It Up
Important features of quadratic graph (parabola) are…
The solutions to a quadratic equation that equals 0 are…
Algebra 1 Spring 2015
Quadratic Unit Practice Test
F.1F.4 For a function that models a relatiohnship between two quantities, interpret key
feature of graph and tables in terms of the quantities, and sketch graphs showing key
features given a verbal description of the relatinoship.
5. The upcoming student versus teacher water balloon fight is approaching and you want to know
how to accurately throw the water balloons so that you can drench Ms. Norton with every
balloon that you throw. You are required to stand 10 feet from the school during the water
balloon fight. The function that models the height of a water balloon, y, as a function of the
horizontal distance, x, 𝒚 = −𝒙𝟐 + 𝟏𝟎𝒙 + 𝟓, can be used to find how long it will take a water
balloon to hit the ground after it is launched.
Sketch the graph to model the balloon’s path.
1. Find the maximum height that the water
balloon will fly.
2. What is the horizontal distance that the balloon will
travel? (How far away from Ms. Norton do you need to
stand in order to hit her?)
3. How far away from the school will Ms. Norton be
when she is hit by your water balloon?
Sum It Up
When solving quadratic problems in context what key features of the graph helped you
answer the questions?
Algebra 1 Spring 2015
Quadratic Unit Practice Test
6. Mrs. Norton’s hidden talent, diving, took her to the 2008 summer Olympics in Beijing. The
path of Mrs. Norton’s last dive that earned her the gold medal can be represented by the equation
h(t) = t 2 − 12t + 32, where h is the height of Mrs. Norton above the water and t is time in
seconds. Assume the x-axis is the water level.
a. Sketch the graph to model the Mrs.
Norton’s path.
b. How long does it take for Mrs. Norton
to hit the water after she jumps?
c. How deep does Mrs. Norton go in the
water before beginning to return to the
surface?
d. How long does Mrs. Norton swim under
water?
Sum It Up
When solving quadratic problems in context what key features of the graph helped you
answer the questions?
Algebra 1 Spring 2015
Quadratic Unit Practice Test
A.REI.4 Solve quadratic equations in one variable.
10. Solve the quadratic equations using a table or graph. Show all your work (including the
relevant part of the table or sketch of the graph)
a. 0 = 𝑥 2 − 8𝑥 + 12
b. 0 = 𝑥 2 − 6𝑥 − 27
c. 0 = 3𝑥 2 − 6𝑥 − 9
d. 3𝑥 2 + 1 = 13
Sum It Up
To solve a quadratic equation using a table or graph I should…