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Allie is playing basketball. She takes a shot 13 ft away from the basket. When the ball is 3 ft away from​ her, it is at a height of​ 10 ft above the floor. The ball reaches its highest height of 14 ft above the floor when it is 7 feet away from her.

Respuesta :

The computation of the the vertex of the parabola shows that they value of a will be -1/4.

What is the vertex of the parabola?

It should be noted that the vertex of the parabola is given as:

y = a(x - h)² + k

Here, (h, k) are the parabola.

In this case, we'll slot the values into the equation. This will be:

y = a(x - h)² + k

10 = a(3 - 7)² + 14

10 = a(-4)² + 14

10 = 16a + 14

Collect like terms

16a = 10 - 14

16a = -4

Divide both side by 16

16a/16 = -4/16

a = -1/4

In conclusion, a is -1/4.

Learn more about parabola on:

https://brainly.com/question/22199685

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