Question

height (feet)
time (seconds)
(0, 5)
(12, 19.4)
(25.93, 0)
the projectile is launched from 5ft. high.
the projectile reaches an altitude of 12 feet.
the projectile reaches its altitude after 12 seconds.
the projectile is in flight for a total of 20 seconds.
true
false

Explanation:

Step1: Analyze launch - height

The graph has a point $(0,5)$, which means the projectile is launched from a height of 5 ft. So, "The projectile is launched from 5 ft. high." is True.

Step2: Analyze height at 12 seconds

The point $P(12,19.4)$ on the graph shows that at $t = 12$ seconds, the height $h(12)=19.4$ feet. So, "The projectile reaches an altitude of 12 feet after 12 seconds." is False.

Step3: Analyze maximum - height

The highest point on the graph is above 19.4 feet, so "The projectile reaches its altitude of 12 feet" is False.

Step4: Analyze time - of - flight

The projectile hits the ground at $t = 25.93$ seconds. So, "The projectile is in flight for a total of 20 seconds" is False.

Answer:

The projectile is launched from 5 ft. high: True
The projectile reaches an altitude of 12 feet after 12 seconds: False
The projectile reaches its altitude of 12 feet: False
The projectile is in flight for a total of 20 seconds: False