Reflections:
Reflection across x-axis
Reflection across y-axis
Ex. 2 Write the new equation after performing the given reflection.
a) 𝑓(𝑥) = 𝑥 3 reflected in the y-axis
b) 𝑓(𝑥) = 𝑥 2 reflected in the x-axis
c) 𝑓(𝑥) = │𝑥│reflected in the x-axis
Dilations – think stretching or compressing the graph either up/down or left/right
Example: f(x) = x2
Vertical stretch
Vertical compression
Horizontal stretch
Horizontal compression
Trig functions are some of the best examples of these, but we’ll see those later this semester.
Ex. 3 Describe the transformation from f(x) to g(x).
a) 𝑓(𝑥) = 𝑥 3 and 𝑔(𝑥) = 4𝑥 3
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b) 𝑓(𝑥) = 𝑥 3 and 𝑔(𝑥) = (4 𝑥)3