Question

Hello, may I have help with finding the maximum or minimum of this quadratic equation? Could I also know the domain and range and the vertex of the equation?

Answer 1

To solve this problem, we will use the following graph as reference:

From the above graph, we get that the quadratic equation represents a vertical parabola that opens downwards with vertex:

`(3,5)\text{.}`

The domain of the function consists of all real numbers, and the range consists of all numbers smaller or equal to 5.

Answer:

Maximum of 5, at x=3.

Vertex (3,5).

Domain:

`(-\infty,\infty).`

Range:

`(-\infty,5\rbrack.`