Draw the axis of symmetry on the following axes.

The graph of the quadratic function intersects the x-axis at the point N(2, 0) . There is a second point, M, at which the graph of the quadratic function intersects the x-axis.

Draw the axis of symmetry on the following axes.

The graph of the quadratic function intersects the $x$-axis at the point ${\text{N}}(2, 0)$. There is a second point, ${\text{M}}$, at which the graph of the quadratic function intersects the $x$-axis.

Clearly mark and label point ${\text{M}}$ on the axes.

(i)     Find the value of $b$ and the value of $c$.

(ii)     Draw the graph of the function on the axes.

vertical straight line which may be dotted passing through $\left( { - \frac{1}{2},{\text{ }}0} \right)$     (A1)     (C1)

vertical straight line which may be dotted passing through $\left( { - \frac{1}{2},{\text{ }}0} \right)$     (A1)     (C1)

point ${\text{M }}( - 3,{\text{ }}0)$ correctly marked on the $x$-axis     (A1)(ft)     (C1)

Note: Follow through from part (a).

(i)     $b = 1$, $c = - 6$     (A1)(ft)(A1)(ft)

Notes: Follow through from (b).

(ii)     smooth parabola passing through ${\text{M}}$ and ${\text{N}}$     (A1)(ft)

Note: Follow through from their point ${\text{M}}$ from part (b).

parabola passing through $(0,{\text{ }} - 6)$ and symmetrical about $x = - 0.5$     (A1)(ft) (C4)

Note: Follow through from part (c)(i).

If parabola is not smooth and not concave up award at most (A1)(A0).