There's a line graph with 3 dolphins (it's the same dolphin at different spot of the jump) jumping out of the water and landing (they formed a parabola). The Y-axis represents Height in feet and the X-axis represents Time in Seconds. The points are (10,0), (13,5), (16,0).

Question

A) The dolphin is 13 feet in the air after 5 seconds.
B) The dolphin jumped in the air at a distance of 10 feet and landed at a distance of 16 feet.
C) The dolphin is 5 feet in the air after 13 seconds.
D) The dolphin jumped in the air after 10 seconds and landed back in the water after 16 seconds.

23)
Part 1- Which of the following is the correct explanation of the x-intercepts?

I have D

Part 2- Which is the correct explanation of the vertex?

I have C

Part 3 - Determine the domain of the scenario.

I have all Real #s
Part 1 - Which of the following is the correct

Answer 1

#1 ok
#2 ok
#3 The only points we can use are those given. That would make the domain {10,13,16}.

But, they have said line is a parabola, so the function is continuous. The domain is thus [10,16].

I guess you could consider that they started counting at t=0, when the dolphins were under water, making the domain [0,16].

The wording is rather vague.

Answer 2

For the domain there are multiple answers.
a) 10<=X<=16
b) 0<=x<=13
c) 10<=x<=15
d) all real #s

I chose d

Answer 3

mistake with c, it suppose to be:
c) 10<=x<=13

Answer 4

C is not correct. The point (16,0) clearly indicates that 16 is in the domain. It has to be A.