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JEOPARDY
Parent Functions and
TransformationsMore
TransformationsWriting
Equations Line of Fit Systems of Equations
1 1 1 1 1
5432 2 2 2 2
3 3 3 3
4 4 4 45 5 5 5
Parent Functions 1
ANSWER
Identify the function as quadratic, square, root, cubic, exponential.
ANSWER
Parent Functions 1
Jeopardy
Cubic
Parent Functions 2
ANSWER
Identify the function family to which f belongs. Compare the graph of f to the
graph of its parent function.
BWBAHAB6BPGFE635PAYYMXGWZCKMNM2
Absolute ValueVertical Stretch
Translated 3 units to the rightTranslated 4 units up
ANSWER
Parent Functions 2
Jeopardy
Parent Functions 3
ANSWER
Given f(x) = |x|, describe the
transformation of:
g(x) = 2 + |x - 3|
ANSWER
Parent Functions 3
Jeopardy
Translated 3 units to the right
Translated 2 units up
Parent Functions 4
ANSWER
Using a graphing calculator, identify and graph the function and its parent function. Then describe the transformations.
𝑓 (𝑥 )=34(𝑥+1)2+3
ANSWER
Parent Functions 4
Jeopardy
QuadraticTranslated 1 unit leftTranslated 3 units upVertical shrink
• Using a graphing calculator, identify and graph the function and its parent function. Then describe the transformations.
Parent Functions 5
ANSWER
ANSWER
Parent Functions 5
Jeopardy
Absolute Value
Reflected across the x-axis
Translated 1 unit right
Translated 1/2 unit down
Write a function g whose graph represents the indicated transformation of the graph f.
More Transformations 1
ANSWER
ANSWER
More Transformations 1
Jeopardy
𝑔 (𝑥 )=|3 𝑥+4|−1
More Transformations 2
ANSWER
Write a function g whose graph represents the indicated transformations of the graph of f
𝑓 (𝑥 )=𝑥
Translated 3 units down followed by a vertical shrink by a factor of 1/3
ANSWER
More Transformations 2
Jeopardy
g(x) = x - 3
Equations 3
ANSWER
Write a function g whose graph represents the indicated transformation of the graph of f.
𝑓 (𝑥 )=¿ 𝑥∨¿
A translation 3 units left followed by a reflection in the y-axis
𝑔 (𝑥 )=¿− 𝑥+3∨¿
More Transformations 3
Jeopardy
ANSWER
More Transformations 4
ANSWER
Write a function g whose graph represents the indicated transformation of the graph of f.
𝑓 (𝑥 )=|6 𝑥|+3
Horizontal shrink by a factor of 3, followed by a translation 5 units down
ANSWER
More Transformations 4
Jeopardy
𝑓 (𝑥 )=|2 𝑥|−2
More Transformations 5
ANSWER
Write a function g whose graph represents the indicated transformations of the graph.
(4, -3)
ANSWER
More Transformations 5
Jeopardy
Writing Equations 1
ANSWER
Use the graph to write an equation of the line and interpret the slope.
(300, 2)
(100, 8)
ANSWER
1
Jeopardy
Writing Equations
𝑦=−3100
𝑥+10
Writing Equations 2
ANSWER
Determine whether the data show a linear-relationship. If so, write an equation of a line of fit.
Hours, x 3 7 9 17 20
Battery Life, y 86 61 50 26 0
ANSWER
Writing Equations 2
Jeopardy
966.4 xn
Writing Equations 3
ANSWER
The graph shows the distance Lexi can ride her bike in x hours.
a) Write an equation of the line
b) Interpret the slope
c) How long does it take Lexi to ride 30 miles traveling at the same rate?
ANSWER
Writing Equations 3
Jeopardy
b) That Lexi travels 10 miles per hour on her bike
c) 3 hours
𝑎 ¿ 𝑦=10 𝑥
Writing Equations 4
ANSWER
Alex reads at a constant rate. He reads 735 words in 3 minutes. Write an equation that represents the number of words he reads in x minutes.
How many words can Alex read in 7 minutes?
ANSWER
Writing Eqauations 4
Jeopardy
1715 words
Writing Equations 5
ANSWER
Gym A charges a fee of $10 per month plus $5 per fitness class. The table shows Gym B’s fees.
Gym B Fees
Number of classes, x
Total fee ($)
2 $28
5 $40
7 $48
11 $64
a) Which gym charges less per fitness class?
b) After how many fitness classes will the fees of the two gyms be the same?
ANSWER
Writing Equations 5
Jeopardy
a. Gym B at $4 per fitness class
b. 10 classes
Line of Fit 1
ANSWER
Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Find and interpret the correlation coefficient.
ANSWER
Line of Fit 1
Jeopardy
Strong negative correlation
Line of Fit 2
ANSWER
The table shows the amount of fruit used to make a smoothie (in ounces) and the total cost (in dollars) of the smoothie.
a) Do the data show a linear relationship?
b) If so write an equation of a line of fit and use it to estimate the total cost of a smoothie that is made using 8 ounces of fruit.
Fruit in a smoothie, x
Total cost, y
2 $2.10
1 $1.50
4 $3.05
7 $4.45
10 $5.95
3 $1.75
6 $4.00
ANSWER
Line of Fit 2
Jeopardy
The data show a linear relationship
𝑦=0.5 𝑥+1
About $5.00
Line of Fit 3
ANSWER
The table shows the number of bolts and their mass (in grams)
Number of bolts, x
Mass (grams), y
15 61
12 47
9 30
14 59
22 100
4 5
31 140
a) Write an equation of a line of fit for the data.
b) Estimate the mass of 20 bolts.
ANSWER
Line of Fit 3
Jeopardy
𝑎 ¿ 𝑦=5.25𝑥−16
b) About 89 grams
Line of Fit 4
ANSWER
Your friend claims the line of best fit for the data shown in the scatter plot has a correlation coefficient close to 1. Is your friend correct?
ANSWER
Line of Fit 4
Jeopardy
No, the correlation coefficient will be close to -1 because the data show a negative correlation.
Line of Fit 5
ANSWER
Use the linear regression feature on a graphing calculator to find:
a) an equation of the line of best fit for the data.b) interpret the correlation coefficient.
ANSWER
Line of Fit 5
Jeopardy
b) r = -0.65 The points lie somewhat close to the line.
a)
Systems of Equations 1
ANSWER
Name the three options for the solutions to a system of equations
ANSWER
Systems of Equations 1
Jeopardy
1.One solution
2.No solution
3. Infinitely many solutions
Systems of Equations 2
ANSWER
Classify the system as consistent or inconsistent.
ANSWER
Systems of Equations 2
Jeopardy
Inconsistent
The equations are parallel so it has no solutions.
Systems of Equations 3
ANSWER
Solve the system
6 𝑥+8 𝑦−6 𝑧=62
12𝑥−8 𝑦+20 𝑧=−6810 𝑥−12 𝑦−14 𝑧=14
ANSWER
Systems of Equations 3
Jeopardy
Exactly one solution (2, 4, -3)
Recursive Formulas 4
ANSWER
Solve the system
𝑥+𝑦+𝑧=1
6 𝑥+9 𝑦−12 𝑧=14
12𝑥+18 𝑦−24 𝑧=−11
ANSWER
Systems of Equations 4
Jeopardy
No solution
Recursive Formulas 5
ANSWER
Solve the system
2 𝑥−2 𝑦+2𝑧=12
10 𝑥−2 𝑦+10 𝑧=60
2 𝑥+2 𝑦+2 𝑧=12
ANSWER
Recursive Formulas 5
Jeopardy
Infinitely many solutions
