Vocabulary
A function where the output is calculated by repeatedly multiplying an initial value by a growth or decay factor
What is an exponential function?
What transformation will occur on the graph of parent function f(x) = 3x to get f(x) = 3x + 2?
What is a Vertical Shift Up 2 Units?
The first four terms of a pattern are
8, 24, 72, 216.
The equation Sn = a(b)n-1 can be used to calculate the value, Sn, of any term, n, in the pattern.
What are the values of a & b in the equation?
a = 8
b = 3
Darrel deposited $250 into a savings account. If he earned 6% per year for interest, how much will he have in three years?
Round to two decimal places.
What is $297.75?
An Android sold for $600. If it loses 20% of its value each year, how much is it worth in 3 years?
Round to two decimal places.
What is $307.20?
A sequence of numbers where each term is found by multiplying the previous term by a fixed number called the common ratio.
What is Geometric Sequence?
What transformation will occur on the graph of parent function f(x) = 3x to get f(x) = 3x-2 ?
What is a Horizontal Shift Right 2 Units?
What is the recursive formula of this sequence?
2, 8, 32, 128, 512
a1 = 2
an = an-1 ᐧ 4
Christine deposited $1800 in a savings account that yields an interest of 3% per year. How much money will she have in her savings account after 5 years, assuming she makes no withdrawals?
Round to two decimal places.
What is $2,086.69?
10 years ago, Daryl bought a painting for $5800. If the painting increases in value by 7% annually, what is the painting worth today?
Round to two decimal places.
What is $11,409.48?
When the parent graph has vertical shifts (up or down), horizontal shifts (left or right), reflections across the x-axis or y-axis, stretches (vertical or horizontal), and compressions (vertical or horizontal)
What are Transformations?
What transformation will occur on the graph of parent function f(x) = 3x to get f(x) = 3x+2 ?
What is a Horizontal Shift Left 2 Units?
What is the explicit form of this geometric sequence?
2, 8, 32, 128, 512
an = 2(4)n-1
Gregory invested $320 into his friend’s business. If he earned 1.2% per year for interest, how much will he have in four years?
Round to two decimal places.
What is $335.64?
A new car was sold for $30,000 six years ago. If the car depreciates 11% annually, what is the car worth today?
Round to two decimal places.
What is $14,909.44?
A formula used to find the nth term of a geometric sequence
What is Explicit Formula?
What transformation will occur on the graph of parent function f(x) = 3x to get f(x) = -3x ?
What is a Reflection Across the x-axis?
What is the geometric formula of this sequence?
6000, 600, 60, 6, ...
an = 6000(0.1)n-1
Daniel borrowed $7500 for a car. The bank loaned the money at 2.5% compounded quarterly. How much will he owe in 2 years?
Round to two decimal places.
What is $7,883.31?
A newly hatched catfish typically weighs about 0.3 grams. During the first six weeks of life, it grows by 10% each day. How much will it weigh in 5 days?
Round to two decimal places.
What is 0.48 grams?
A formula used to find the next term of a geometric sequence when the previous term is known
What is Recursive Formula?
What transformation will occur on the graph of parent function f(x) = 3x to get f(x) = 2(3)x ?
What is a Vertical Stretch by a Factor of 2?
What is the 11th term of this geometric sequence?
4, 20, 100, 500, 2500
39,062,500 or 3.90625 x 107
Neiman invested $1000. She will earn 3.82% compounded monthly. How much will she have in 3 years?
Round to two decimal places.
What is $1121.22?
A newly hatched catfish typically weighs about 0.3 grams. During the first six weeks of life, it grows by 10% each day. How much will it weigh in 5 weeks?
Round to two decimal places.
What is 8.43 grams?