Question

If (x-5) is a factor of a quadratic equation, what do we know about the hraph of the related function at 5

Answer 1

The line will go through point (5,0).

Explanation:

Since (x-5) is a factor, we can think of it as:

(x-5)*(A Second or More Factor) = A Number

If x were 5, the first factor would be (5-5) or 0. It makes no difference what the other factor(s) are, y will be zero when x = 5. So the graphed line goes through point (5,0).

See the attached graph for an example.