Transformations of Graphs
Describe the transformation of g(x) as it relates to the parent function f(x).
f(x) = 4^x; g(x) = 4^x-3
What is translated right 3 units?
The number of bacteria initially present in a culture was 1000. Each hour the number of bacteria in the culture was 8x the number that was present at the start of the preceding hour. What equation could be used to determine n, the number of bacteria in the culture at hour t?
What is n=1000(8)^t
Compound Interest:
You invested your allowance of $270 which gets 15% compounded annually for 3 years. How much will you have in 3 years?
What is $410.63?
True or False:
This is a geometric sequence.
17, 36, 55, 74...
What is false.
(Arithmetic; Adds 19 each time)
Finish the lyric:
"Coming out of my cage..."
What is "And I've been doing just fine"?
(Mr. Brightside - The Killers)
Describe the translation in g(x)=2^x + 3 as it relates to the graph of the parent function f(x)=2^x.
What is shifted 3 units up?
While Sam was at work, his house lost electrical power. By the time the electrical power came back on, the temperature inside the house was 88 degrees fahrenheit. The air conditioner immediately started to cool the house. Let f(x) represent the temperature, in degrees fahrenheit, of Sam's house x minutes after the air conditioner started to cool the house. What is the meaning of this statement, f(30)=76?
What is after 30 minutes, the house cooled 76 degrees?
Depreciation:
Suppose a company's computer equipment is decreasing in value according to the function y= 4000(0.87)^x. In the equation, x represents the number of years that have elapsed since the equipment was purchased and y represents the value in dollars. What was the value 5 years after the equipment was purchased? Round your answer to the nearest dollar.
What is $1994
Find 3 more terms from this geometric sequence.
1, 2, 4, 8, 16, 32
What is 64, 128, 256?
Finish the lyrics:
"Tone, tan, fit and ready..."
What is "Turn it up, 'cause it's getting heavy"?
(California Girls - Katy Perry & Snoop Dogg)
Describe the transformation of g(x) as it relates to the parent function f(x).
f(x)=3^x + 1; g(x)=2(3^x +1)
What is stretched vertically; shifted 2 units up?
Which statements regarding the function f(x)= -3x + 18x - 21 are true?
Select all that apply.
A: When written in vertex form f(x)= -3(x-3)^2 + 6
B: When written in vertex form f(x)= -3(x-3)^2 - 2
C: When written in vertex form f(x)= (x-3)^2 + 6
D: When written in vertex form f(x)= (x-3)^2 - 2
E: The vertex of f(x) is located at (3,6)
What is A & E?
Quadratic Word Problem:
You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t^2 + 12t. Will you be able to dunk the basketball? (Give the inequality) [EX: # </> #]
What is No (2.25 < 2.5)
Determine whether this sequence is arithmetic or geometric. Find the common ratio or difference.
-2, -4, -8, -16...
What is geometric; r=2?
Finish the lyrics:
"Staring at the blank page before you..."
What is "Open up the dirty window, let the sun illuminate the words that you could not find"?
(Unwritten - Natasha Bedingfield)
Destiny invests $4000 in an account that earns 3.5% interest per year compounded annually. The amount of money in her account after x years can be modeled by g(x) = 4000(1.035)^x. Describe the dilation in g(x) as it relates to the parent function f(x) = 1.035^x
What is stretched vertically by a factor of 4000?
Consider the equation p^2 - 5p - 6 - x(p - 6)^2 = 0, where p is a real constant.
PART A:
If p=6, then the equation has how many solutions?
PART B:
If p does not equal 6, then what does x equal?
What is part 1; Infinitely many solutions, part 2: p+1/p-6?
A ball was thrown upwards into the air. The height in feet of the ball above the ground t seconds after being thrown can be determined by the expression: -16t^2 +40t +3. What is the meaning of 3 in the expression?
What is the ball was thrown at a height of 3 feet?
What is the recursive arithmetic formula?
What is an= r * an-1?
Finish the lyrics:
"Well I've been 'fraid of changing..."
What is "'Cause I've built my life around you"?
(Landslide - Fleetwood Mac)
What is the formula for exponential transformations?
What is y= a*b^(x-h) + k?
Find the value of c to make each of the following perfect square trinomials.
1) x^2 + 8x + c
2) x^2 - 18x + c
3) x^2 + 5x + c
4) x^2 - 13x + c
What is...
1) c = 16
2) c = 81
3) c = 25/4
4) c = 169/4
Module 1 - Expressions Involving Absolute Value:
Stadiometers are devices designed to accurately measure height. The accuracy of a stadiometer is the positive difference between a person's height according to the stadiometer m and a person's actual height h. Write two absolute value expressions equivalent to the accuracy of a stadiometer.
What is |m – h| and |h – m|?
Given the recursive formula for a geometric sequence. Find the common ratio, the first five terms, and the explicit formula.
an=an-1(5)
a1=2
What is r=5; First Five Terms: 2, 10, 50, 250, 1250; Explicit: an=(2)5^n-1?
Finish the lyrics:
"And I got this rubber band, rubber band on my wrist, on my wrist..."
What is "And I snap it every time that I think about your lips"
(Rubber band - Tate Mcrae)