Respuesta :
Answer:
The answer to the equation -8t^2+16t = -48
Step-by-step explanation:
Add ''-8t^2'' to ''16t'' and the answer you get is ''-48''
The maximum height that the dolphin jumps is 8 ft.
What is a parabola?
A parabola is a planar curve which symmetrical across its vertex.
What is the standard equation of a parabola?
The standard equation of a parabola is given by:
y = (x-h)² + k
Where (h, k) is the vertex of the parabola.
The maximum height that the dolphin reaches is the y-coordinate of the vertex of the parabola. We can change the given quadratic equation to standard form as follows:
h = -8t² + 16t
Subtract and add 8:
h = -8t² + 16t - 8 + 8
h = -8 (t² - 2t + 1) + 8
h = -8 (t - 1)² + 8
The negative coefficient outside the square term means that the parabola opens downward. From this standard form, we can see that the vertex of the parabola is (1, 8). This means that the maximum height that the dolphin can reach is 8 ft.
Therefore, we have found that the maximum height the dolphin jumps is 8 ft.
Learn more about parabolas here-https://brainly.com/question/25651698
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