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

D

Step-by-step explanation:

Start by the easier part. The graph is below the x axis. The only way that can happen is if f(x) = (x - b)^2 - 6

Now what you have done is eliminate answers a and b.

The much harder part is dealing with the 8. Is it plus or minus. It turns out that the reason this is more complex is that it is anti intuitive.

- 8 means move right.

+ 8 means move left - just exactly the opposite of what you have been taught about a number line.

Since the graph is moving right, then you use -8

The answer becomes

y = (x - 8)^2 - 6 which is D

step-by-step explanation:

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function