Question

Helpppp Plsssss Asap!! Show your work!!

Thank you!! ​

Answer 1

Hello!

The answer is: B)
`(x-4)^(2)+1`

Why?

Since from the graph we can only see the position of the vertex (4,1), let's find the vertex of the chosen option (B).

`g(x)=(x-4)^(2)+1=x^(2)-8x+16+1=x^(2)-8x+17`

Where:

`a=1\\b=-8\\c=17`

Finding the vertex:

`x=(-b)/(2a)=(-(-8))/(2*1)=(8)/(2)=4`

So, x-coordinate of the vertex is 4,

Susbtituting x into the function, we can find the y-coordinate

`g(4)=y=4^(2)-8(4)+17=1`

So, y-coordinate of the vertex is 1

Hence,

The Vertex is located at (4,1)

If the vertex is located at (4,1), then the chosen option is correct.

Have a nice day!