Answer:
(a) (3)
(b) (1)
(c) (2)
(d) (4)
Explanation:
You want to match the equation of each transformed function with its graph.
Transformation
The transformation ...
b·f((a(x -h)) +k
causes the graph to be ...
- vertically stretched by a factor of b, reflected over the x-axis when b < 0
- horizontally compressed by a factor of 'a', reflected over the y-axis when a < 0
- shifted to the right h units
- shifted up k units
A h = 5
The graph matching (a) is the one shifted to the right 5 units.
Graph 3 matches (a).
B k = 6
The graph matching (b) is the one shifte up 6 units.
Graph 1 matches (b).
C b = 4, h = -7
The graph matching (c) is the one vertically stretched by a factor of 4 and shifted left 7 units.
Graph 2 matches (c).
D b = -1, a = 5
The graph matching (d) is the one reflected over the x-axis and horizontally compressed by a factor of 5.
Graph 4 matches (d).
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