If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(-2k) = 0 a root of f(x) is x = -2k. ay intercept of f(x) is x = 2k.

A. f(2k)=0

Step-by-step explanation:

The factor theorem states that a polynomial f(x) has a factor (x−k) if and only if f(k)=0 (i.e. k  is a root).

If (x – 2k) is a factor of f(x), then by the factor theorem f(2k)=0 (i.e. 2k is a root).

Option A is true, f(2k)=0

Option B is false, it should be like in option A, f(2k)=0

Option C is false, because x=2k is a root, not x=-2k

Option D is false, because x-intercept of f(x) is x=2k, not y-intercept.

a negative exponent is translated as follows:

so, we have

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.