1. Using the AOS and Vertex
Graphing Parabolas
Using the AOS
and Vertex

2. Graph the following parabola
x = -2
re-visited
y = x2 + 4x - 7
axis of symmetry:
vertex:
(0, -7)
(-2, -11)
y-intercept:

3. Graph the following parabola
Why did this parabola open downward instead of upward as did the previous?
re-visited
y = -3x2 + 5x + 9
axis of symmetry:
vertex:
y-intercept:

4. Graphing Parabolas In Vertex Form
With your graphing calculator, complete the transformation worksheet

5. Summarize…
Equation How d changes y = x2 y = -x2 opens down y = (x + d)2 moves left y = (x – d)2 moves right y = x2 + d moves up y = x2 – d moves down y = dx2 (d>1) narrow y = dx2 (d<1) wide

6. y = x2

7. y = (x - 3)2 + 1
x - 3 = 0
x = 3 3 1

8. y = (x + 2)2 - 4
x + 2 = 0
x = -2 2 4

9. y = 2(x - 3)2 - 1
x - 3 = 0
x = 3 3 1
stretch
stretch

10. Write an equation from the graph
y =__(x __)2 __
y =__(x __)2 + 4
y =__(x + 3)2 + 4
y = -1(x + 3)2 + 4