1.1. Find the solutions to the equation

$2{x}^{2}+x-6=0$

1.2. A curve has the equation

$y=2{x}^{2}+x-6$

By expressing the equation of the curve in the form

$y=a{(x+b)}^{2}+c$

where $a$, $b$ and $c$ are constants to be found, find the coordinates of the turning point on the curve.

1.3. Sketch the graph of $y=2{x}^{2}+x-6$

Label clearly the coordinates of

• any turning points

• any points where the graph meets the coordinate axes