Question

Question 13
y = - X + X^2

Answer 1

We have the following function that is a quadratic function:


`y=-x+x^2`

So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:


`y=-x+x^2 \\ y=x(x-1) \\ \\ x_(1)=0 \ and \ x_(2)=1`

As you can see in the figure. This function decreases from
`(-\infty,0.5)` and increases from
`(0.5, \infty)`

Finally, it is important to note that the vertex is the point:


`V(0.5,-0.25)`

The answer is the second graph.