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

Answer:

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

Step-by-step 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

Answer 2

Answer:

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

Step-by-step explanation:

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