Question

Which of the following functions best describe this graph ?

Answer 1

D.

Explanation:

y - int is value of y when x = 0,

We have y int = 1,

D. x = 0, y = (0 - 1)(0 - 1) = 1

x-int = 1,

D. y = 0, So, answer is D.

Answer 2

D

Explanation:

First, note that the graph "bounces" off the x-axis at x=1. This is telling us two things: (1) the graph has a zero at x=1 and (2), since the graph bounces, it has a factor with a multiplicity of 2. Since it is a quadratic, the only way that it can have a multiplicity of two is if the function is a perfect square trinomial. In other words, it can be factored into (x-a)^2.

A, B, and C are not perfect square trinomials. They cannot be factored into the form (x-a)^2.

D is (x-1)(x-1) which equals (x-1)^2, a perfect square trinomial. Its zero is also at x=1. D is correct.