$****$Please include full sketches thank you$*****$

Task $1$:

a$)$ Consider the function:

$y=x^2+8x-4$

$($i$)$ Identify the coordinates of the turning point, and the nature of this turning point.

$($ii$)$ Determine where the function crosses the vertical axis.

$($iii$)$ Sketch the function by$-$hand, annotating your sketch appropriately.

b$)$ Consider the function:

$y=-2x^2-11x$

$($i$)$ Identify the coordinates of the turning point, and the nature of this turning point.

$($ii$)$ Determine where the function crosses the vertical axis.

$($iii$)$ Sketch the function by$-$hand, annotating your sketch appropriately.

$($iv$)$ Inspect your graph and estimate the location of both the negative and positive roots.