In translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.
What is translation?
"It is a transformation in which the graph of function is moved from one location to another location without changing its size, shape or orientation."
What is reflection?
"It is a transformation in which the graph of function is reflected along the line of reflection."
What is function?
"It defines a relation between input and output values"
Consider a function f(x).
Translations in function f(x):
1) When function f(x) is transformed to f(x) + k, it means function f(x) is translated vertically up by 'k' units.
2) When function f(x) is transformed to f(x) - k, it means function f(x) is translated vertically down by 'k' units.
3) When function f(x) is transformed to f(x + k), it means function f(x) is translated horizontally left by 'k' units.
4) When function f(x) is transformed to f(x - k), it means function f(x) is translated horizontally right by 'k' units.
Now consider reflections in function f(x):
1) When function f(x) is transformed to -f(x) , it means function f(x) is reflected over X-axis.
2) When function f(x) is transformed to f(-x) , it means function f(x) is reflected over Y-axis.
Therefore, in translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.
Learn more about the function transformation here:
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