Question

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?

Answer 1

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


`a\ \textgreater \ 0` means the graph is ∪ shape

`a\ \textless \ 0` means the graph is ∩ shape

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

We are given a quadratic equation

`y=-0.07(x-10.76)^2+14.8`, where:


`a=-0.07`

`p = 10.76`

`q=14.8`

So, the graph is ∩ shape because
`a\ \textless \ 0` 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