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kozerog [31]
2 years ago
8

THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?

Mathematics
1 answer:
Katen [24]2 years ago
7 0

Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

  • h(t) = height in feet
  • t = time in seconds after the launch

<h3><u>Part (a)</u></h3>

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the <u>height of the projectile at launch is 128 ft</u>.

<h3><u>Part (b)</u></h3>

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the <u>length of time it took for the projectile to land is 4 s</u>.

<h3><u>Part (c)</u></h3>

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

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