#Putting All the Weeks Together

Name:

Student Number:

For Part A, Desmos/Other graphing software should NOT be used as a part of your solution. Solutions should use methods presented in the course in order to demonstrate your understanding of course concepts.

PART A

Given the point A(-2,3) answer the following questions.

1. Create a system of linear equations with point A(-2,3) as the solution. Show graphically and algebraically that your system is correct.

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2. Create a quadratic relation where the point A(-2,3) is the vertex AND the relation is factorable. Show graphically and algebraically that your relation is correct.

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3. Create a quadratic relation such that the relation passes through point A(-2,3) and has two identical real roots. Justify your answer graphically and algebraically.

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4. Create a quadratic relation such that the relation passes through point A(-2,3) and contains a vertical compression, vertical shift and a reflection. Show graphically from y=x^2, using transformations of key points, that the transformations are correct.

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5. Choose two other points B(x,y) and C(x,y). Solve the triangle formed by the three points. Show all work algebraically.

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6. Create a rhombus using point A(-2,3) as a vertice. Show graphically and algebraically that a rhombus has been created.

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PART B: You will be assigned an interview date to attend an online meeting. You will be asked a variety of questions based on the work from #1-6 above in order to demonstrate your understanding of the success criteria for the course. You will need a working camera and microphone. It will be expected that the camera is on.