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Unit 3 Test

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Last updated about 4 years ago
30 questions
Note from the author:
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You don't have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific

Formulae:
Vertex form of a parabola: y=A(x-h)^{2}+k where (h, k) is the vertex.
Directions:
0) Make sure you've turned in your study guide.
On your desk - paper, pencil, calculator
On your browser - this test, Desmos links below.
In your backpack - phones, electronics, notes.
1) Take the test. If you're struggling, come back to the directions and formulae. Give it your best shot, but keep moving through the questions.
2) Some questions allow you to show your work. For these, just type what steps you took to get your answer. I may be able to give you partial credit if some of your steps are correct. You don't have to show your work.
3) Check your answers. Pay careful attention that you gave what the question was asking for. Check formatting especially.
4) Submit the test.
5) Close your Chromebook. Read, draw, or work on paper schoolwork quietly.

Desmos - Graphing
Desmos - Scientific

Formulae:
Vertex form of a parabola: y=A(x-h)^{2}+k where (h, k) is the vertex.
For the following function, identify the function features, transformations, and inverse.

y=\sqrt{x-3}+2
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=-3\sqrt{x}+3
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=-\sqrt{x-5}+3
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=\frac{1}{2}(x+4)^{2}
1
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=-\frac{5}{3}(x+1)^{2}-5
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=x^{2} + 4x + 6
1
1
1
1
For the following function, identify the function features, transformations, and inverse.

y=-3x^{2} + 6x +1
1
1
1
1
1
Question 30
30.

Question 1
1.

Domain?

Use interval notation, one space after the comma.

Question 2
2.

Range?

Use interval notation, one space after the comma.

Question 3
3.

Question 4
4.

What is the inverse of the function?

Use vertex form, no spaces.
(y=...)

Question 5
5.

Domain?

Use interval notation, one space after the comma.

Question 6
6.

Range?

Use interval notation, one space after the comma.

Question 7
7.

Question 8
8.

Question 9
9.

Domain?

Use interval notation, one space after the comma.

Question 10
10.

Range?

Use interval notation, one space after the comma.

Question 11
11.

Question 12
12.

What is the inverse of the function?

Use vertex form.

Question 13
13.

What is the vertex of the function?

Use (x, y) format, one space after the comma.

Question 14
14.

What is the increasing interval?

Use interval notation, one space after the comma.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

What is the vertex of the function?

Use (x, y) format, one space after the comma.

Question 19
19.

What is the increasing interval?

Use interval notation, one space after the comma.

Question 20
20.

Question 21
21.

Question 22
22.

What is the vertex of the function?

Use (x, y) format, one space after the comma.

Question 23
23.

What is the increasing interval?

Use interval notation, one space after the comma.

Question 24
24.

What is the vertex form of the function?

Use y=... format.

Question 25
25.

Question 26
26.

What is the vertex of the function?

Use (x, y) format, one space after the comma.

Question 27
27.

What is the increasing interval?

Use interval notation.

Question 28
28.

What is the vertex form of the function?

Use y=... format.

Question 29
29.

Are the functions shown inverses of each other?

Why or why not?
What transformations are there?
left 3
left 2
right 3
right 2
down 3
down 2
up 3
up 2
reflection
What transformations are there?
left 3
right 3
down 3
up 3
stretch by 3
compression by 3
reflection
What is the inverse of the function?
y=(\frac{x-3}{-3})^{2}
y=(\frac{x+3}{-3})^{2}
y = \frac{(x+3)^{2}}{3}
y = \frac{(x-3)^{2}}{3}
What transformations are there?
left 3
left 5
right 3
right 5
down 3
down 5
up 3
down 5
stretch by 1
compression by 1
reflection
What are the function transformations?
left 4
right 4
down 4
up 4
stretch by 1/2
compression by 1/2
reflection
What is the inverse for the function?
y=2\sqrt{x-4}
y=2\sqrt{x}-4
y=\sqrt{\frac{1}{2}x-4}
y=\sqrt{2x}-4
Select the end behaviors for the function.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
What are the function transformations?
left 1
left 5
right 1
right 5
up 1
up 5
down 1
down 5
stretch by 5/3
compressiong by 5/3
reflection
Select the end behaviors.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
Select the end behaviors.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
Select the end behaviors.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow\infty.
As x\rightarrow\infty, y\rightarrow\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.
As x\rightarrow\infty, y\rightarrow -\infty.
As x\rightarrow -\infty, y\rightarrow -\infty.