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