Using the AOS and Vertex

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Presentation transcript:

Using the AOS and Vertex Graphing Parabolas Using the AOS and Vertex

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

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:

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

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

y = x2

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

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

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

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