Question

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

Answer 1

D. f(x) = (x - 8)2 - 6

Explanation:

I am a HS math teacher

Answer 2

`\boxed{f(x)=(x-8)^2-6}`

Explanation:

The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.

The coordinates of a point in the fourth quadrant is of the form
`(x,-y)`

Considering the options, the vertex must have coordinates
`(h,k)=(8,-6)` and
`a=1`.

The quadratic function in vertex form is written as;

`f(x)=a(x-h)^2+k`

Therefore the equation of the quadratic function is;

`f(x)=(x-8)^2-6`

The correct answer is option D