The equation of the quadratic relationship is y=−0.07(x−10.76)²+14.8. That equation references the coordinates (10.76,14.8). What is the significance of those coordinates?

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05-11-2017
Mathematics

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The equation of the quadratic relationship is y=−0.07(x−10.76)²+14.8. That equation references the coordinates (10.76,14.8). What is the significance of those coordinates?

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merlynthewhizz merlynthewhizz · Answer 1 · 2017-11-05T22:21:37+01:00

A quadratic relationship that is given in the form [tex]y=a(x+p)^2+q[/tex], where [tex]a, p[/tex], and [tex]q[/tex] are constants, tells a lot about the quadratic graph

[tex]a\ \textgreater \ 0[/tex] means the graph is ∪ shape
[tex]a\ \textless \ 0[/tex] means the graph is ∩ shape

The minimum/maximum point of the graph is given by [tex](-p, q)[/tex]

We are given a quadratic equation
[tex]y=-0.07(x-10.76)^2+14.8[/tex], where:

[tex]a=-0.07[/tex]
[tex]p = 10.76[/tex]
[tex]q=14.8[/tex]

So, the graph is ∩ shape because [tex]a\ \textless \ 0[/tex] and the coordinate for maximum point is (10.76, 14.8)

Answer: The significance of (10.76, 14.8) is that the coordinate shows the maximum point of the quadratic graph