Question

Which graph represents the function f(x) = (x - 5)2 + 3?
CIF

Answer 1

A

Explanation:

Answer 2

Please find the attachment.

We have been given a function
`f(x)=(x-5)^2+3`. We are asked to find the graph of the function.

We can see our given function is in vertex form of parabola.

The vertex form of parabola is
`y=a(x-h)^2+k`, where point (h,k) is vertex of parabola.

Upon looking at our given function, we can see that
`a=1`,
`h=5` and
`k=3`.

Since the value of leading coefficient is positive, so our parabola will be an upward opening parabola and its vertex will be at point
`(5,3)`.

Therefore, the graph of our given function will be as shown in the attached file.