Graph the quadratic function. First find your minimum or maximum value, and then create a chart to find your coordinate points.

Question

Graph the quadratic function. First find your minimum or maximum value, and then create a chart to find your coordinate points.
f(x) = -x2 – 2x + 1

Answer 1

F(x) = -x² - 2x + 1  
 
this is parabola pointing down (you can tell by the negative leading coefficient A = -1)
Ax^2 + Bx + C
 
Thus, its open ended (i.e. no minimum) only a maximum where the vertex is;
 
Vertex in standard form = (-B/2A , y)
 
-(-2)/2(-1) = vertex x coordinate = -1
 
plug in to the function to find the vertex y coordinate

 

F(-1) = -(-1)² - 2(-1) + 1

 

F(-1) = -1 + 2 + 1 = 2

 

The vertex which is also the maximum point is then; (-1, 2)

 

You should be able to create a chart of coordinates on your own by just plugging numbers for x and solving for F(x)