JEOPARDY Parent Functions and Transformation s 1 2

JEOPARDY Parent Functions and Transformation s 1 2 3 4 5 More Transformatio ns 1 2 3 4 5 Writing Equations 1 2 3 4 5 Line of Fit Systems of Equations 1 2 3 4 5

Parent Functions Identify the function as quadratic, square, root, cubic, exponential. ANSWER 1

1 Parent Functions ANSWER Cubic Jeopardy

BWBAHAB 6 BPGFE 635 PAYYMXGWZCKMNM 2 Parent Functions 2 Identify the function family to which f belongs. Compare the graph of f to the graph of its parent function. ANSWER

2 Parent Functions ANSWER Absolute Value Vertical Stretch Translated 3 units to the right Translated 4 units up Jeopardy

Parent Functions Given f(x) = |x|, describe the transformation of: g(x) = 2 + |x - 3| ANSWER 3

3 Parent Functions ANSWER Translated 3 units to the right Translated 2 units up Jeopardy

Parent Functions Using a graphing calculator, identify and graph the function and its parent function. Then describe the transformations. ANSWER 4

4 Parent Functions ANSWER Quadratic Translated 1 unit left Translated 3 units up Vertical shrink Jeopardy

Parent Functions • ANSWER 5

5 Parent Functions ANSWER Absolute Value Reflected across the x-axis Translated 1 unit right Translated 1/2 unit down Jeopardy

More Transformations • ANSWER 1

1 More Transformations ANSWER Jeopardy

More Transformations Write a function g whose graph represents the indicated transformations of the graph of f Translated 3 units down followed by a vertical shrink by a factor of 1/3 ANSWER 2

2 More Transformations ANSWER Jeopardy

Equations 3 Write a function g whose graph represents the indicated transformation of the graph of f. A translation 3 units left followed by a reflection in the y-axis ANSWER

3 More Transformations ANSWER • Jeopardy

More Transformations 4 Write a function g whose graph represents the indicated transformation of the graph of f. Horizontal shrink by a factor of 3, followed by a translation 5 units down ANSWER

4 More Transformations ANSWER Jeopardy

More Transformations Write a function g whose graph represents the indicated transformations of the graph. (4, -3) ANSWER 5

5 More Transformations • Jeopardy

Writing Equations Use the graph to write an equation of the line and interpret the slope. (100, 8) (300, 2) ANSWER 1

1 Writing Equations ANSWER Jeopardy

2 Writing Equations Determine whether the data show a linearrelationship. 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

2 Writing Equations ANSWER Jeopardy

3 Writing Equations 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

3 Writing Equations ANSWER b) That Lexi travels 10 miles per hour on her bike c) 3 hours Jeopardy

Writing Equations 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 4

4 Writing Eqauations ANSWER Jeopardy

5 Writing Equations 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

5 Writing Equations ANSWER a. Gym B at $4 per fitness class b. 10 classes Jeopardy

1 Line of Fit 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

1 Line of Fit ANSWER Strong negative correlation Jeopardy

2 Line of Fit The table shows the amount of fruit used to make a smoothie (in ounces) and the total cost (in dollars) of the smoothie. 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 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. ANSWER

2 Line of Fit ANSWER The data show a linear relationship About $5. 00 Jeopardy

3 Line of Fit 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

3 Line of Fit ANSWER b) About 89 grams Jeopardy

Line of Fit 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 4

4 Line of Fit ANSWER No, the correlation coefficient will be close to -1 because the data show a negative correlation. Jeopardy

5 Line of Fit 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

5 Line of Fit ANSWER b) r = -0. 65 The points lie somewhat close to the line. Jeopardy

Systems of Equations Name three options for the solutions to a system of equations ANSWER 1

1 Systems of Equations ANSWER 1. One solution 2. No solution 3. Infinitely many solutions Jeopardy

Systems of Equations 2 Classify the system as consistent or inconsistent. ANSWER

2 Systems of Equations ANSWER Inconsistent The equations are parallel so it has no solutions. Jeopardy

Systems of Equations Solve the system ANSWER 3

3 Systems of Equations ANSWER Exactly one solution (2, 4, -3) Jeopardy

Recursive Formulas Solve the system ANSWER 4

4 Systems of Equations ANSWER No solution Jeopardy

Recursive Formulas Solve the system ANSWER 5

5 Recursive Formulas ANSWER Infinitely many solutions Jeopardy