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

Q ,# 13 Graph the function Y = - X + X ^2-example-1

2 Answers

4 votes
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
User Manuel Meurer
by
9.0k points
3 votes
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)


Q ,# 13 Graph the function Y = - X + X ^2-example-1
User Patti
by
7.8k points

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