1. Match up each of the graphs below with the following functions:

 (a) y = x2 − 2 (d) y = (x − 2)(x + 1) (b) y − 2 = (x + 1)2 (e) y = − x2 + 2 (c) y = (x + 2)(x − 1) (f) y = x2 + 2
 (i) (ii) (iii) (iv) (v) (vi) 2. The sketch shows the function y = x (x − 2) (a) What are the coordinates of A? (b) What are the coordinates of B? (c) What is the equation of m? (d) What are the coordinates of the turning point of the curve? (e) What is the minimum value of the function? 3. The sketch below is of the functiony = (x − 2)(x + 3) (a) What are the coordinates of A? (b) What are the coordinates of B? (c) What are the coordinates of C? (d) What is the equation of the axis ofsymmetry n ? (e) What are the coordinates of D, the turningpoint of the curve? 4. Sketch the graphs of the following functions, clearly marking all intercepts, the axis of symmetry, and the vertex of the curve.

(a) y = (x − 2)(x + 4)

(b) y = x2 − 7x + 6

(c) y = (x + 3)(x + 4)

(d) y = x2 − 2x − 35

(e) y = (2x − 1)(x + 3)

(f) y = (3 − x)(x − 2)

(g) y = x2 − 4x + 2 (find x intercepts to 1 d.p.)

(h) y = x2 + 6x + 20

5. Sketch the graphs of the following functions, clearly marking the vertex and the y-intercept. (no need to find x intercepts)

(a) y = x2 + 3

(b) y = (x + 2)2 − 4

(c) y − 1 = x2

(d) y + 3 = 2x2

(e) y = − (x − 1)2

(f) y = (x − 3)2 + 1