Use the symmetry of the following quadratic function to find the maximum or minimum points. Sketch graph, showing all axes crossing points.

$y=12+x-x^2$

Express $2x^2-8x+5$ in the form $a(x+b{)}^2+c$, where $a, b$ and $c$ are integers.

Write down the equation of the line of symmetry for the graph of $y=2x^2-8x+1$.

Express $7+5x-x^2$ in the form $a-(x+b{)}^2$, where $a$, and $b$ are constants.

Find the coordinates of the turning point of the curve $y=7+5x-x^2$, stating whether it is a maximum or a minimum point.

Express $2x^2+9x+4$ in the form $a(x+b{)}^2+c$, where $a, b$ and $c$ are constants.

Write down the coordinates of the vertex of the curve $y=2x^2+9x+4$, and state whether this is a maximum or a minimum point.

Find the minimum value of $x^2-7x+8$ and the corresponding value of $x$.

Write $1+x-2x^2$ in the form $p-2(x-q{)}^2$.