Pablo throws a ball with a path of h = -5(t - 2)2. Maria throws a ball with a path of h = -5(t - 2)2 + 10. Which description is reasonable for the difference in the two equations?
Maria throws the ball 10 times harder than Pablo does.
Maria starts her ball at a height 10 feet higher than Pablo does.
Pablo throws the ball 10 times harder than Maria does.
Pablo starts his ball at a height 10 feet higher than Maria does.
18. Multiple Choice
1 minute
1 pt
Which quadratic function is represented by the graph?
y = 2(x - 4)2 + 5
y = 2(x + 4)2 + 5
y = -2(x - 4)2 + 5
y = -2(x + 4)2 + 5
19. Multiple Choice
3 minutes
1 pt
Which transformation transforms the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?
a vertical translation 4 units up
a vertical translation 4 units down
a horizontal translation 4 units to the left
a horizontal translation 4 units to the right
20. Multiple Choice
2 minutes
1 pt
What will transforming y=x2 to y = 3x2 do to the parabola?
Move it up 3 units
Make it more narrow (Vertical stretch)
Move it down 3 units
Make it wider (vertical shrink)
21. Multiple Choice
3 minutes
1 pt
How did we transform from the parent function? y = -1/5(x - 1)2 + 7
reflection, vertical compression (shrink), horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection, horizontal shift right, vertical shift down
no changes were made to y = x2
22. Multiple Choice
3 minutes
1 pt
Which equation has a vertex of (-3, 4)?
y = 2(x+3)2 + 4
y = (x+3)2 - 4
y = (x-3)2 + 4
y = 2(x - 3)2 + 4
23. Multiple Choice
3 minutes
1 pt
In the equation f(x)=5(x+3)2-10 what does the 5 do?
Vertical stretch by 5
Horizontal compress by 5
Reflect
Move up 5
24. Multiple Choice
2 minutes
1 pt
Does the graph of this equation widen or narrow from the parent function?
y = 3/4x2
widen
neither
narrow
25. Multiple Choice
1 minute
1 pt
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
Minimum value
Slope
Maximum value
A parabola
26. Multiple Choice
3 minutes
1 pt
The axis of symmetry of this parabola is...
y=4
y=-4
x=4
x=-4
27. Multiple Choice
1.5 minutes
1 pt
How is the graph of y = x2 different from the graph of y = 1/3x2?
The graph of y = 1/3x2 is shifted up.
The graph of y = 1/3x2 is shifted down.
The graph of y = 1/3x2 is wider.
The graph of y = 1/3x2 is narrower.
28. Multiple Choice
1.5 minutes
1 pt
Which of the following shows f(x) = x2 + 12x - 2 written in vertex form?
f(x) = (x + 6)2 + 142
f(x) = (x + 6)2 - 34
f(x) = (x + 6)2 - 38
f(x) = (x + 6)2 + 34
29. Multiple Choice
1 minute
1 pt
Convert the equation y= x2-2x-5 into vertex form.
y= (x-1)2-6
y= -(x-1)2-6
y= (x+1)2-6
y= -(x+6)2-1
30. Multiple Choice
1.5 minutes
1 pt
Which of the following equations matches standard form of a quadratic?
ax + by = c
y = a(x - h)2 + k
y = ax2 + bx + c
y = mx + b
31. Multiple Choice
5 minutes
1 pt
Convert y = 3(x+1)2 - 8 into standard form.
y=3x2 + 6x - 5
y=3x2 - 6x - 5
y=3x2 + 6x + 5
y=3x2 - 6x + 5
32. Multiple Choice
5 minutes
1 pt
The point in which a graph hits the x-axis is know as the _____
Solution
x-intercept
Root
All answers are correct
33. Multiple Choice
5 minutes
1 pt
What form is the following equation written in? y = 2(x - 2)2 + 4
Standard
Vertex
Factored
Hege
34. Multiple Choice
5 minutes
1 pt
Which of the following is the correct equation for the given graph?
f(x) = (x - 2)2 - 1
f(x) = (x + 2)2 - 1
f(x) = -(x + 2)2 - 1
f(x) = -(x - 2)2 - 1
35. Multiple Choice
1.5 minutes
1 pt
What is the area of the rectangle?
15 sq cm
15 cm
2
16 cm
36. Multiple Choice
1.5 minutes
1 pt
Find the perimeter
25cm
35cm
50cm
100cm
37. Multiple Choice
5 seconds
1 pt
Find the AREA of this figure.
160 square feet
160 feet
160
1600 feet
38. Multiple Choice
5 minutes
1 pt
Find the best fitting Quadratic model for the data
-.26x2-17.3x+222.8
-.26x2+22.59x+23.02
2.6x2+22.9x+20.03
2.6x2+2.3x+23.02
39. Multiple Choice
15 minutes
1 pt
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
-4
2
4
8
40. Multiple Choice
15 minutes
1 pt
Ed hits a shot off the tee that has a height modeled by the velocity function f(t) = -16t2 + 112t. What is the other time that the ball is at the same height as when it is at 1 second? (Note: Read this question CAREFULLY)
4 seconds
5 seconds
6 seconds
7 seconds
41. Multiple Choice
15 minutes
1 pt
Find the vertex of f(x) = -x2 - 4x + 12 using your calculator.
(-2, 16)
(2, 0)
(2, 4)
(-2, 4)
42. Multiple Choice
5 minutes
1 pt
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
4 seconds
-2 seconds
6 seconds
9 seconds
43. Multiple Choice
3 minutes
1 pt
How fast would you reach the water if you jump of a cliff using the formula: h(t) = -16t2 + 8t + 24?
8
1
1.5
1/4
44. Multiple Choice
3 minutes
1 pt
How high would you jump if the equation for jumping from a cliff is: h(t) = -16t2 + 8t + 24?