Explain the procedure (but don't create the graph) for graphing the quadratic function in vertex form f(x) = 2(x - 3)^2 - 1 using pencil and paper. Your explanation should show your understanding of using the perfect squares pattern from the vertex. Explain the entire process. please help

Step-by-step explanation:

Let's break down the equation for every operation on x

2(x-3)^2-1

1. Multiplying 2 to the entire equation - a vertical expansion/stretch of 2

2. Subtracting 3 from the inside of the function (x) - shifting the graph 3 units to the right

3. ^2 As a quadratic, this is a U shaped graph.

4. Subtracting 1, vertically shifting the graph down 1 unit

Total number of students in the class = 36

Number of students wearing blue shirts = (1/6) * 36

                                                                = 36/6

                                                                = 6

Number of students wearing white shirts = (2/3) * 36

                                                                 = 2 * 12

                                                                 = 24

Then

Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)

                                                                                                       = 36 - 30

                                                                                                       = 6

So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.

Step-by-step explanation:

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