1. 8.4 Graphing

2. Axis of Symmetry

3. Vertex Coordinate (x,y) The x coordinate is x= -b/(2a)
Plug in the axis of symmetry for x into the equation and find the corresponding y value

5. Steps to Graph a Quadratic
Draw the Axis of Symmetry
Plot the Vertex (x,y)
Determine width of parabola:
Find x intercepts (roots or zeros) if factorable.
If not factorable use x, y chart . For the x, y chart pick the x value from your axis of symmetry and 2 x-values less than your axis of symmetry and 2 x-values greater than your axis of symmetry.
Plot the y- intercept (which is c)
Label Domain and Range

6. Graph
A = -2
B = +4
C = 1

7. Graph x y 3 -5 2 1 -1 x y 3 2 1 -1 Axis of symmetry is x= 1
Vertex: y= -2(1)² + 4(1) +1 y=
y = 3
Vertex : (1, 3) x y 3 -5 2 1 -1 x y 3 2 1 -1
X-intercepts
0 = -2x² +4 +1
0= not factorable as of now so use a xy chart

8. Graph x y 3 -5 2 1 -1 x y 3 2 1 -1

9. the range is y> the y coordinate of the vertex When a<0
Domain (x)
Range (y)
All Real Numbers
When a>0
the range is y> the y coordinate of the vertex
When a<0
the range is y< the y coordinate of the vertex

10. Domain is all real numbers
Graph x y 3 -5 2 1 -1 x y 3 2 1 -1
Domain is all real numbers
Range: { y | y }

11. Graph x y 3 2 -3 1 -4 -1 x y 3 2 1 -1
Range: { y | y }
x - intercepts

13. Minimum and Maximum Points
Vertex
Maximum if a<0 (negative)
Minimum if a>0 (positive)

15. Free Graphing Calculator Online