Unit 3 Booklet

4. This parabola is of the form
y = Ð(x + a) 2 + b
(a) Write down the coordinates of the maximum
turning point.
(b) Write down the equation of the axes of symmetry.
(c) Find the values of a and b and hence write down the
equation of the function represented by the parabola.
y
x
5. For each of the following parabolas:
(i) write down the coordinates of its maximum turning point.
(ii) write down the equation of its axis of symmetry.
(iii) write down the equation of the function represented by the parabola.
(a) (b) (c)
y
y
y
x
x
x
(d) (e) (f)
y
y
y
x
x
x
6. Without a sketch, write down the coordinates of the maximum turning points and
the equation of the axes of symmetry of these parabolas.
(a) y = Ð(x Ð 2) 2 + 6 (b) y = Ð(x Ð 5) 2 + 1 (c) y = Ð(x Ð 6) 2 Ð 2
(d) y = Ð(x + 1) 2 + 7 (e) y = Ð(x + 4) 2 Ð 5 (f) y = Ð(x + 3) 2
(g) y = 7 Ð (x Ð 1) 2 (h) y = 1 Ð (x Ð 8) 2 (i) y = Ð2 Ð (x + 5) 2
Mathematics Support Materials: Mathematics 3 (Int 2) Ð Student Materials 19