Answered

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an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?​

Sagot :

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

  • [tex]x_v = -\frac{b}{2a}[/tex]
  • [tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

  • [tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex]
  • [tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

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