-x^2+2x+1
Use complete sentences and show all work to determine the following:

Does the graph open up or down? How do you know? (2 points)
Explain whether the graph has a maximum or minimum point. (2 points)
Find the vertex and x-intercepts of the graph. (3 points)

Question

-x^2+2x+1
Use complete sentences and show all work to determine the following:

Does the graph open up or down? How do you know? (2 points)
Explain whether the graph has a maximum or minimum point. (2 points)
Find the vertex and x-intercepts of the graph. (3 points)

anonymous · Answer

@TuringTest @phi @Luis_Rivera @agent0smith

agent0smith · Answer

For $$\Large ax^2+bx+c$$
The graph opens up if a>0 (this will have a minimum), down if a<0 (this means it has a maximum)

The vertex is found from $$\Large x=-\frac{ b }{ 2a }$$then you plug that into the equation to find y.

To find x-intercepts, you have to factor the equation, or use the quadratic formula.