module 7 test review. formulas shifting functions given g(x) on a graph, f(x) = g(x) + 7 would mean...
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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 upTRANSCRIPT
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:
21
21
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
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
Graphing Functions: If g(x) is graphed on the left, graph f(x) = g(x) - 2
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!
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
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?
23
52
0000
2352
1001
192
193
195
192
Solve the system of equations by substitution, elimination, or matrix row reduction:
Answer: (2, -4)
23024
yxyx
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
20
1324
yx
21
2321
20
21
1324
21
2321
2321
yx
4020
yx
42
yx