Question

Q ,# 13 Graph the function
Y = - X + X ^2

Answer 1

are those the only graphs?

if not it might be the second one because i got one that looks like the second one but its on the other side

Answer 2

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, another thing we can see from the graph is that the vertex is the point:


`V(0.5,-0.25)`