For these word problems, draw a picture and label everything you know. You'll need to find the vertex first. And remember, parabola's have symmetry!! Don't forget your units.
1
1
1
1
1
1
Use this function to answer 1-5
Question 1
1.
The x value of the vertex is _______. The y value of the vertex is _______. What is the vertex? _______
Question 2
2.
What is the axis of symmetry?
Question 3
3.
Does it have a min or max? What is it? (answer looks like: max y=2)
Question 4
4.
What is the y-int?
Question 5
5.
What is the range?
Use this function to answer 6-10
Question 6
6.
The x value of the vertex is _______ . The y value of the vertex is _______ What is the vertex? _______
Question 7
7.
What is the axis of symmetry?
Question 8
8.
Does it have a min or max? What is it? (answer looks like: min y=2)
Question 9
9.
What is the y-int?
Question 10
10.
What is the range?
Question 11
11.
Graph this function by finding the vertex. Then plot the y-int and a point on the other side for symmetry.
Question 12
12.
Graph this function by finding the vertex. Then plot the y-int and a point on the other side for symmetry.
Use this function to answer 13-15
Question 13
13.
What is the x-value of the vertex? *hint:
Question 14
14.
What is the vertex? (plug in x and solve for y)
Question 15
15.
Write the function in vertex form ('a' stays the same)
Use this function to answer 16-18
Question 16
16.
What is the x-value of the vertex? *hint:
Question 17
17.
What is the vertex? (plug in x and solve for y)
Question 18
18.
Write the function in vertex form ('a' stays the same)
Question 19
19.
What is the x-value of the vertex? *hint:
Question 20
20.
What is the vertex? (plug in x and solve for y)
Question 21
21.
Write the function in vertex form ('a' stays the same)
Use this function to answer 22-23
Question 22
22.
Write the function in standard form
Question 23
23.
What is the y-intercept? (remember, it's an ordered pair!)
Use this function to answer 24-25
Question 24
24.
Write the function in standard form
Question 25
25.
What is the y-intercept?
Question 26
26.
Find the x-value of the vertex. Round up to the nearest whole number.
Question 27
27.
How high above the ground is the tallest point of the arch? (find the y-value of the vertex by plugging in the x-value you found, round up to the nearest whole number)
Question 28
28.
How far apart are the legs of the arch at their bases? (assume the arch starts at (0,0) on the graph and remember SYMMETRY)
Question 29
29.
Find the x-value of the vertex. Round to the nearest whole number.
Question 30
30.
What is the maximum height that the ball will reach?
Question 31
31.
At what distance from the batter will the ball hit the ground? (the batter is at (0,0))
