The table and graph are representations of the predicted height, $h$ metres, of a model rocket, $t$ seconds after it is launched.

Time after launch	Height
$1$	$35$
$3$	$75$
$4$	$80$
$5$	$75$
$8$	$0$

Write down the coordinates of the vertex of the graph and then explain its meaning in terms of the context of the graph.

The table and graph are representations of the predicted height, $h$ metres, of a model rocket, $t$ seconds after it is launched.

Find an equation for $h\left(t\right)$ and give the domain.

The table and graph are representations of the predicted height, $h$ metres, of a model rocket, $t$ seconds after it is launched.

If the predicted height of the model rocket $2.4$ seconds after launch is $b$ metres. find the value of $b$.

Solve by factorization:

$x^2-4x+3=0$

Solve by factorization:

$x^2-x-20=0$

Solve by factorization:

$x^2-8x+12=0$

Solve by factorization:

$x^2-121=0$

Solve by factorization:

$x^2+x-42=0$

Solve by factorization:

$x^2-8x+16=0$