Exponential Functions
Teacher Facts
Real World Quadratics
Quadratic Features
Unit 5:
Exponential Func
Exponential Func
Unit 6/7:
Quadratic Func
Quadratic Func
100
The graph shows the yearly balance, in dollars, in an investment account.
What is the initial balance in the account?
$1000
100
How many daughters does Mrs. Gribble have?
2
100
The height of a baseball, in feet, is modeled by the function h given by the equation
h(t)=3+60t-16t^2
h(t)=3+60t-16t2. The graph of the function is shown.
About how high is the maximum height of the baseball?
About 60 feet high
100
A quadratic function f is defined by f(x)=(x-7)(x+3).
Without graphing, identify the x-intercepts of the graph of f.
(7,0) and (-3,0)
100
What is the percent increase/decrease represented by this equation:
y=200(1.42)^x
42% growth
100
Does the function below have a minimum or maximum?
y=-2x^2+5x-3
Maximum
200
A population of ants is 10,000 at the start of April. Since then, it triples each month.
Write a function to model the growth of the ant population.
f(x)=10,000*(3)^x
200
In what city did Mrs. Gribble grow up in?
Bowie
200
The height of a baseball, in feet, is modeled by the function h given by the equation
h(t)=3+60t-16t^2
The graph of the function is shown.
About when does the baseball reach its maximum height?
At about 2 seconds or a little under 2 seconds
200
What is the y-intercept for the graph of the equation:
y=x^2+3x-2
(0,-2)
200
Your grandma left you a diamond necklace. It is worth $9000 and its value increase 1.5% every year. How much is it worth after a decade?
9000(1.015)^10=10444.87
200
Solve.
y=x^2-5x+6
x = 2, 3
300
A piece of paper is folded into thirds multiple times. The area, A, of the piece of paper in square inches, after n folds, is
A=90*(1/3)^n
What is the value of A when n=0? What does this mean in the situation?
A= 90 square inches
It is the original size of the paper before you start folding.
300
What is Mrs. Gribble's husband's name?
John
300
The height of a baseball, in feet, is modeled by the function h given by the equation
h(t)=3+60t-16t^2
The graph of the function is shown.
About when does the ball hit the ground?
About 3.75 s or just a bit less than 4 seconds
300
Write an equation in factored form to represent this function:
(x+1)(x-3)
300
What is the value, after 3 years, of $1000 that earns 6% annual interest compounded every three months?
1000(1.015)^12=1195.62
300
Solve.
3x^2=243
x = 9, -9
400
A medicine is applied to a burn on a patient's arm. The area of the burn in square centimeters decreases exponentially and is shown in the graph.
What fraction of the burn area remains each week?
6/8
3/4
400
Name one country that Mrs. Gribble has visited.
Canada, Mexico, Jamaica
400
The expression represents an object’s distance from the ground in meters as a function of time, t, in seconds.
-5t^2+25t+50
At what height the the object launched from?
50 meters
400
A quadratic function f is defined by f(x)=(x-7)(x+3).
Expand (x-7)(x+3) and use the expanded form to identify the y-intercept of the graph of f.
(0, -21)
400
Write the expression you would use to solve:
You invest $200 into an account that earns 6% annual interest compounded quarterly. Assume no other deposits or withdrawals are made. What is your account balance after 3 years?
200(1.015)^12
400
Solve.
y=9x^2-8x-11
x = -0.75 and 1.64
500
A forest fire has been burning for several days. The burned area, in acres, is given by the equation y=(4,800)⋅2d, where d is the number of days since the area of the fire was first measured.
How much area had the fire burned a week before it measured 4,800 acres?
37.5 acres
Use d=-7 in the equation:
4800*2^-7=37.5
500
When is Mrs. Gribble's birthday?
July 1st
500
The expression represents an object’s distance from the ground in meters as a function of time, t, in seconds.
-5t^2+25t+50
At what vertical speed was the object launched from?
25 meters per second
500
What is the vertex of the graph of
f(x)+3
if
f(x)=-(x-3)^2+6
The vertex of f(x) is
(3,6)
so the vertex of
f(x)+3
would be shifted up 3 units to
(3, 9)
500
$2500 is invested into an account that earns 2.5% annual interest compounded quarterly. What is the balance after 12 years?
2500(1.00625)^48=3371.50
500
Which are equivalent to
(2x-10)(x+4)
A: 2x^2-2x-40
B: 2(x^2-x-20)
C: 2(x-5)(x+4)
All of them!