Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 7 Quadratics Translating Graphs.

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Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 7 Quadratics Translating Graphs

1. Compare graphs G1, G2 and G3. How have the graphs been affected? 2. Describe the effect of k on the equation f(x) = a(x – h) 2 + k. Changing the 0 to a 2 moved the graph up 2. Changing the 0 to a -3 moved the graph down 3. The k value shifts the graph up and down (vertically).

It shifts the graph to the left 2 spaces. The h value shifts the graph right and left (horizontally). It shifts the graph to the right 3 spaces.

It makes the parabola more narrow. The a value widens and narrows the parabola. It makes the parabola wider.

It made the parabola open down instead of opening up. The a value widens and narrows the parabola and determines the direction it will open. It made the parabola open down instead of opening up AND it made the parabola more narrow.

Example #1 Describe and graph the transformation of f(x) = x 2 Transformations:Graph: Left 2 spaces Down 3 spaces

Example #2 Describe and graph the transformation of f(x) = x 2 Transformations:Graph: Opens down Right 1 space Up 4 spaces

Example #3 Describe and graph the transformation of f(x) = x 2 Transformations:Graph: Opens down Wide Left 2 spaces

Translating Quadratic Graphs Opens Up/Opens Down Narrow/Wide Moves left or right Moves up or down