Quadratic Relationships Redemption Task - Engineering Assignment Help

Assignment Task:

Task:

Question 1 (6 marks)
Factorise and solve:
a)

b)

c)

Question 2 (3 marks)
(a) Express 3x 2 – 6x + 12 in the form ??khxay???2 .

2 marks

(b) Hence find the co-ordinates of the turning point.

1 mark

Question 3 (7 marks)
For the quadratic function ??2820fxxx??? , find the

(a) co-ordinates of the y – intercepts.

1 mark

(b) co-ordinates of the x – intercepts

2 marks

(c) co-ordinates of the turning points.

1 mark

(d) Sketch the graph clearly labelling the x – intercepts, the y – intercepts and turning point.

3 marks

Question 4 (2 marks)
By examining the discriminant, find the number of roots (solutions) of
2
90xx???

Question 5 (2 marks)
For what values of k does the equation - x 2 + 2kx – 9 = 0 have one solution

Question 6 (2 marks)
Find the intersection point y = 3x + 5 to the parabola y = x 2 + 9x +14 algebraically.
2 marks

Question 7 (4 marks)
(a) Determine the equation of the following graph:

2 marks

(b) A parabola has x- axis intercepts of –1 and 2 and passes through the point (3, 6).
Find the equation of the parabola.

Tech Active section: (14 marks)
Question 8 (3 marks)

Find the rule for a quadratic function with rule f (x) = ax 2 + bx + c passes through the points (-4, 25), (-3, 37) and (1, -5)

Question 9 (7 marks)
A farmer has 240 metres of fencing with which to construct 3 sides of a rectangular paddock connected to an existing fence.
(a) Draw a diagram and label the length and width.

(b) Write an expression for the length, L, of the rectangle in terms of w.

(c) Write an expression connecting the area of the paddock, A m 2 in terms of w

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