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
(i know it isn't the second option)

Step-by-step explanation:

The given graph was obtained after a transformation of the parent function .

The equation of the transformed function will now be in the form,

, where is the vertex of the graph.

Since the vertex of the graph is now in the fourth quadrant, the coordinate will be in the form .

Based on the options given we can conclude that the vertex has coordinates and .

If we substitute these values in to the equation, we obtain, .

This simplifies to,

.

Hence the correct answer is D

could you give more information?

answer: the equation matches the regression

step-by-step explanation: