Linear, Quadratic or Exponential
Write the equation based on the coordinates below:
(0,1) (1,2) (2,4) (3,8)
y=1*2x
OR
y=2x
Algebraically find the solution(s) to the system:
y=x2-4x+6 y=x+2
(1,3) and (4,6)
If f(x)=2x2-5x+7, find the value of f(7).
f(7)=70
What is the axis of symmetry for the function, y=-x2+8x-6
x=4
A high school club is researching a tour package offered by the Island Kayak Company. The company charges $35 per person and $245 for the tour guide. Write a function to represent the total cost, C, of this kayak tour package for some amount of club members,m.
C=35m+245
Write the equation based on the coordinates below:
(-2,5) (-1,7) (0,9) (1,11)
y=2x+9
Algebraically find the solution(s) to the system:
y=x2-10x+14 y=7x-16
(2,-2) and (15,89)
If f(x)=-3x2+5x-4, evaluate the expression when x=2a
f(2a)=-12a2+10a-4
What is the range of the quadratic:
y=x2+10x-5
Range: [-30,∞)
Write the product of (3+x) and (2x-5) in standard form.
2x2+x-15
Write the equation based on the coordinates below:
(0,0) (1,0.25) (2,1) (3,2.25) (4,4)
y=0.25x2
Algebraically find the solution(s) to the system:
y=x2+8x+20 y=3x-2
No solution
If f(x)=x2+6x-10, evaluate the expression if x=a-2
f(a-2)=a2+2a-18
Identify the roots of the quadratic: (round to 100th)
y=2x2+4x-7
x=-3.12, 1.12
Algebraically solve for y:
4(y-3)< 4(2y+1)
y>-4 OR -4<y
Write the equation based on the coordinates below:
(-1,-11) (1,35) (3,81) (5,127) (7,173)
y=23x+12
Algebraically find the solution(s) to the system:
y=x2-10x+14 y+3x=2.75
(2.5,-4.75) and (4.5,-10.75)
If a(x)=x2+12 and b(x)=a(x-8), find the value of b(10).
b(10)=16
For what values of x is the function, y=2x2-3x+4, decreasing?
x<0.75 or 3/4
Sarah travels on her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute?
0.6 km/min
Write the equation based on the coordinates below:
(1,101) (2,86) (3,73) (4,62) (5,53)
y=x2-18x+118
A dolphin jumps out of water with an initial velocity of 20 feet/sec. The dolphins pathway is modeled by the quadratic h=-16t2+20t. A water bugs flight path is modeled by the equation h=-12t+16. At what time would the dolphin eat the water bug?
*If necessary round to the nearest tenth*
1 second
If h(x)=g(x+5)-2 and g(x)=x2-20x+50, find the value of h(7).
h(7)=-48
A slingshot flings a ball in the air. The balls path is represented by the function, h=-16t2+48t+5, is kicked in the air. Height, h, is measured in feet and time, t, is measured in seconds. At what time is the ball the highest in the air?
t=1.5 seconds
Joey recorded his heart rate, in beats per minute, after doing different numbers of jumping jacks. His results are shown the following coordinates, where x is the # of jumping jacks and y is his heart rate.
(0,68) (10,84) (15,104) (20,100) (30,120)
Identify the correlation coefficient (nearest 100th) of these data points AND explain what it means in the context of this problem.
r=0.97
This means that there is a strong positive correlation between Joey's BPM and how many jumping jacks he does.