module 7 test review. formulas shifting functions given g(x) on a graph, f(x) = g(x) + 7 would mean...

Module 7 Test Review

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Shifting Functions  Given g(x) on a graph, f(x) = g(x) + 7 would mean that…..  Answer: g(x) would be shifted 7 units up

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Module 7Test Review

Formulas What is the formula for finding slope from 2 points

Answer:

What is the Pythagorean Theorem?Answer:

What is the Distance Formula?Anwser:

xxyy

Shifting Functions

Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units up

Functions

If f(x) = g(x) - 6, and g(x) = -2x + 7, then what does f(x) = ? Answer: f(x) = -2x + 1

Fill in the table given f(x) = g(x) – 9 and g(x) = 3x + 7

x f(x) g(x)0123

x f(x) g(x)0 -2 71 1 102 4 133 7 16

Page 6: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Evaluate the Function If 7, and , then f (3) = ?

Answer: 7, and = 54 f(3) = 54 + 7 = 61

Find the distance between f(3) and g(2) Answer: f(3) = 54 + 7 = 61 =

2122

12 yyxx

22 186123

22 431

1850

01.43

Page 7: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Graphing Functions: If g(x) is graphed on the left, graph f(x) = g(x) - 2

Page 8: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Prove it! Determine if the shape on the left is a square.

Opposite sides parallel:Slope: AB = ½ DC = ½

AD= -2 BC = -2 All four sides congruent:

AB = BC= CD = AD =

Opposite sides slopes are perpendicular

AB = ½ AD = -2 (Opposite Reciprocal)

Yes, it is a square!

Page 9: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Evaluate the following problem for the sequence 3, 9, 27, 81 The common ratio is?

Answer: 3 The equation for the sequence is f(x) =

Answer: f(x) = How is the sequence 7, 13, 31, 85 related to the original? Does the new

sequence have a common ratio? Answer: It is the original sequence plus 4. No, it does not have a common ratio.

What is the equation for the new sequence in translation form? g(x) = Answer: g(x) = f(x) + 4

What is the equation for g(x)? Answer: g(x) = + 4

Page 10: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Use this matrix to answer the following questions:

What is the additive identity of the matrix?

What is the additive inverse?

What is the multiplicative identity?

What is the multiplicative inverse?

0000

2352

1001

192

193

195

192

Page 11: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Solve the system of equations by substitution, elimination, or matrix row reduction:

Answer: (2, -4)

23024

yxyx

Page 12: Module 7 Test Review. Formulas Shifting Functions Given g(x) on a graph, f(x) = g(x) + 7 would mean that….. Answer: g(x) would be shifted 7 units

Solve the system of equations using an inverse matrix:

Set up: (Write the system of equations as a matrix)

Find the inverse matrix:

Find the solution: (inverse first)

23024

yxyx

1324

2321

1324

2321

4020

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