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Mathematics & Economics
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Transforming Graphs (Other (Not Listed) Sample)

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5)

ii. Transforming Graphs 2
this is parent graph (red). this is horizontal shift left of one unit(blue). this horizontal shift right of 2 units (green). The vertex of the parent graph is on x axis where y=0 coordinates (2,0). Vertex is shifted left to (-1,0) and shifted right to (2,0)

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Content:

Part 3: Transforming graphs
* Transforming Graphs 1
y=x2parent graph is (red curve),y=x2+2 graph is vertically translated or shifted upward by 2 units (green curve),y=x2-3 graph is vertically translated or shifted downward by a unit of 3 and -3 is less than 0 (purple curve) .The vertex of the parent graph is on x axis where y=0 coordinates (0,0).Transformation shifts upward vertex to (0,2) and downward to (0,-2.5)
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* Transforming Graphs 2
fx=x2 this is parent graph (red). fx=(x+1)2 this is horizontal shift left of one unit(blue). fx=(x-2)2this horizontal shift right of 2 units (green). The vertex of the parent graph is on x axis where y=0 coordinates (2,0). Vertex is shifted left to (-1,0) and shifted right to (2,0)
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* Transforming Graphs 3
fx=x2 parent graph red. reflection graph it appears inverted or facing down and the reflection is through x-axis(blue) fx=-x2square os negative gives an absolute value hence graph is same as the parent graph (no color). Vertex of the parent has same coordinates as the vertex of the image which is (0,0)
1995051962700
* Transforming Graphs 4fx=x2 this is the parent graph,fx=2(x2) this is the graph horizontally stretch by scale factor of 2,fx=0.5(x2) the graph is horizontally compressed by scale factor of 0.5.The vertex does not change it I same in parent graph and in the two translated graphs it is coordinate (0,0).
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Part 4: Transformation of a trigonometric function
* Parent graph of fx=sinx,00≤x0≤7200 is drawn and it is captured below
144780497379A (9001)0^0A0A (9001)0^0AOn the graph the limit used is 3π=5400 becausesin5400=sin7200=0
43π=2400 1small square=150then 2 squares=2×15=300→2400+300=2700 Coordinates of B are given as B2700/32π,-1
* We Graph the following functions on separate axes each with the original parent graph, with domain 00≤x0≤7200
* f2xor fx=2(sinx) as followsA90,2
1662551675240
* f12xof fx=0.5x, The coordinate of B is (2700,-0.5)
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* f4x or fx=4x
1662551246900
1 The coordinates of A that is the first peak after the transformation of f(2x) has occurred is gotten by checking the transformed graph f2x=2(sinx), and -52π,-2 is the coordinate of transformed.
2 The coordinate of B is (2700,-0.5)
3 Fully summarize the transformation of

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