Question

A rock is launched off the roof of a house and lands on the ground. The height of the rock shown after x seconds. What is the...DomainRangeHow high will the rock be at 4 seconds?At what time will the rock reach its max height?For the X-int, there are no numbers so I put an infinity symbole.

Answer 1

The max/min is the highest point or the lowest point of the graph, from the graph we can conclude:

$Max=(2,18)$

The AOS ( Axis of symmetry) is the vertical line that divides the parabola into two congruent halves, in this case is given by:

$x=2$

The x-intercepts represent the initial time(where the rock is launched) and the final time (Where the rock reach the ground again) respectively.

The y-intercept represent the initial height of the rock

The vertex is the point where the parabola crosses its axis of symmetry, therefore:

$V=(2,18)$

What is the...

Domain:

$D\approx\lbrack0,5\rbrack$

Range:

$R=\lbrack0,18\lbrack$

How high will the rock be at 4 seconds?

$\begin{gathered} x=4 \\ h=10 \end{gathered}$

At what time will the rock reach its max height?



$x=2s$