Unit 7 Quadratics Translating Graphs
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Transcript of Unit 7 Quadratics Translating Graphs
Goal: I can infer how the change in parameters
transforms the graph. (F-BF.3)
Unit 7 QuadraticsTranslating Graphs
2G1. y x
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.
2G2. 2y x
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).
2G3. 3y x
2G4. 2y x
3. Compare graphs G1 and G4. How did changing x2 to (x+2)2 affect the graph?
4. Compare graphs G1 and G5. How did changing x2 to (x - 3)2 affect the graph?
5. Describe the effect of h on the equation.
2G5. 3y x
It shifts the graph to the left 2 spaces.
The h value shifts the graph right and left (horizontally).
2G1. y x
It shifts the graph to the right 3 spaces.
2G6. 2y x
6. Compare graphs G1 and G6. How did changing x2 to 2x2 affect the graph?
7. Compare graphs G1 and G7. How did changing x2 to ½x2 affect the graph?
8. Describe the effect of a on the equation.
21G7.2
y x
It makes the parabola more narrow.
The a value widens and narrows the parabola.
2G1. y x
It makes the parabola wider.
2G8. y x
9. Compare graphs G1 and G8. How did changing x2 to -x2 affect the graph?
10. Compare graphs G1 and G9. How did changing x2 to -3x2 affect the graph?
11. Describe the effect of a on the equation.
2G9. 3y x
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.
2G1. y x
It made the parabola open down instead of opening up AND it made the parabola more narrow.
Example #1Describe and graph the transformation of
f(x) = x2 2( ) 2 3f x x
Transformations: Graph:Left 2 spacesDown 3 spaces
Example #2Describe and graph the transformation of
f(x) = x2 2( ) 1 4f x x
Transformations: Graph:Opens downRight 1 spaceUp 4 spaces
Example #3Describe and graph the transformation of
f(x) = x2 21( ) 22
f x x
Transformations: Graph:Opens downWideLeft 2 spaces
Translating Quadratic Graphs 2( )f x a x h k
a Opens Up/Opens DownNarrow/WideMoves left or rightMoves up or down
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