Paige and Thuy are on a hill by a river. Paige throws a stone into the river. Her stone's path is described by the equation y=-3x² + 9x + 5. Thuy is higher on the hill than Paige. She also throws a stone into the river. The path of her stone is shown in the graph. 10 In each function, x is the stone's horizontal distance from the hill and y represents its height. Both are measured in feet. Whose stone reached a higher point above the river? A. paige's stone reached a higher point above the river B. Thuy's stone reached a higher point C. the two stone reached the same height ​

Respuesta :

The height from the graph shows that Paige is 1ft higher than Thuy because Paige is 12ft high while Thuy is 11 ft high.

How do we represent parabolic equations on the graph?

The representation of a parabolic equation on a graph can be determined if the slope and the y-intercept of the parabolic equation are known.

From the given equation:

y = -3x² + 9x + 5

Using the quadratic formula, the x-intercepts are:

[tex]\mathbf{(-\dfrac{-9+\sqrt{141}}{6} ,0),(\dfrac{9+\sqrt{141}}{6} ,0) }[/tex]

The y-intercept = (0, 5)

The vertex which is the up-down parabola of the quadratic equation is maximum at (3/2, 47/4)

Therefore, the height from the graph shows that Paige is 1ft higher than Thuy because Paige is 12ft high while Thuy is 11 ft high.

Learn more about parabolic equations here:

https://brainly.com/question/4148030

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