In this discussion, you will be assigned two equations where you will complete a variety of math work related to mathematical functions. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

f your assigned number is	Solve the following Problems
1	30 on pages 708 – 711	2 on pages 719–723
2	32 on pages 708 – 711	4 on pages 719–723
3	34 on pages 708 – 711	6 on pages 719–723
4	36 on pages 708 – 711	8 on pages 719–723
5	46 on pages 708 – 711	10 on pages 719–723
6	48 on pages 708 – 711	12 on pages 719–723
7	50 on pages 708 – 711	14 on pages 719–723
8	52 on pages 708 – 711	16 on pages 719–723
9	54 on pages 708 – 711	48 on pages 719–723
10	56 on pages 708 – 711	36 on pages 719–723
11	58 on pages 708 – 711	56 on pages 719–723
12	60 on pages 708 – 711	40 on pages 719–723
13	64 on pages 708 – 711	26 on pages 719–723
14	20 on pages 708 – 711	28 on pages 719–723
15	62 on pages 708 – 711	30 on pages 719–723
16	66 on pages 708 – 711	32 on pages 719–723
17	68 on pages 708 – 711	34 on pages 719–723
18	22 on pages 775 – 776	36 on pages 719–723
19	24 on pages 775 – 776	38 on pages 719–723
20	26 on pages 775 – 776	40 on pages 719–723
21	28 on pages 775 – 776	42 on pages 719–723
22	30 on pages 775 – 776	44 on pages 719–723
23	34 on pages 775 – 776	46 on pages 719–723
24	36 on page 775 – 776	48 on pages 719–723
25	38 on pages 775 – 776	50 on pages 719–723
26	40 on pages 775 – 776	52 on pages 719–723
27	42 on pages 775 – 776	54 on pages 719–723
28	22 on pages 708 – 711	56 on pages 719–723
29	24 on pages 708 – 711	42 on pages 776 – 77
30	26 on pages 708 – 711	44 on pages 776 – 77
31	28 on pages 708 – 711	46 on pages 776 – 77
32	12 on pages 708 – 711	y = 3 ( x + 2 )2 – 5
33	14 on pages 708 – 711	y = – 4 ( x – 2 )2 + 2
34	16 on pages 708 – 711	y = 2 ( x + 4)2 – 3
35	18 on pages 708 – 711
36	10 on pages 708 – 711
37	2 on pages 708 – 711
38	4 on pages 708 – 711
39	6 on pages 708 – 711
40	8 on pages 708 – 711
41	1 on pages 708 – 711	1 on pages 719–723
42	3 on pages 708 – 711	3 on pages 719–723
43	5 on pages 708 – 711	5 on pages 719–723
44	7 on pages 708 – 711	7 on pages 719–723
45	9 on pages 708 – 711	9 on pages 719–723

For each of the above problems, do the following:

• For each of your equation, write down five (5) points on the graph of each equation (you do not have to submit your graph. Draw the graph using paper/pencil or use online graphing calculators like Desmos Graphing Calculator (Links to an external site.)Links to an external site. to answer the question).
• For each of your equation, does the graph of each equation have any intercepts? If yes, what are they? If not, why not?
• State the domain for each of your equations. Write them in interval notation.
• State the range for each of your equations. Write them in interval notation.
• State whether each of the equations is a function or not giving your reasons for the answer.
• Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
• Incorporate the following four math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.
  • Function
  • Relation
  • Vertical Line test
  • Transformation

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

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