Trigonometry And Functions Assignment

Instructions:

• Use the learnonline course website to submit your assignment as a single PDF file. The size of the file should not exceed
• Your file should include your handwritten or typed solutions to the
• If you choose to write your solutions by hand, make sure that they are It is your responsibility to submit a clear scan of your work with all pages in correct order.
• Your assignment must be your own work. You may discuss the questions with other students, but must write your own solutions in private, and not allow other students to copy them. If you discuss the questions with other students, you should acknowledge who they
• This assignment has a total of 50 marks distributed across 4 questions as well as presen- tation and It is worth 15% of your final grade for this course.

Question 1 (4 + 3 + 3 = 10 marks)

Consider the following graph.

• Estimate the equation of the line shown in the graph Find its slope, x-intercept, andy-intercept.

• Estimate the equation of a line parallel to the line shown in the graph above, but that passes through the point annotated P .
• Estimate the equation of a line perpendicular to the line shown in the graph above, but that passes through the point annotated P .

Question 2 (2 + 3 + 4 + 2 = 11 marks)

Consider the following equation.

y= x² + 2x + 15

• Rearrange to make y the subject of the equation, writing y as a quadratic function of x in standard Identify the y-intercept of the resulting function.
• Factorise the quadratic and hence deduce the x-intercepts.
• Rearrange the quadratic into vertex form by completing the square, and hence deduce the co-ordinates of the
• Determine the domain and range of the function given implicitly in the equation

Question 3 (2 + 2 + 4 = 8 marks)

Determine the centre and radius of the circles described by the following equations:

Question 4 (6 + 5 + 5 = 16 marks)

Consider the following graph.

• Estimate the quadratic equation of the parabola shown in the graph Write this equation in standard form. Find its vertex and intercepts.
• Estimate the equation of the circle shown in the graph Write this equation in standard form. Find its centre and radius.
• Find the coordinates of the points at which the two curves

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