Answer:
Step-by-step explanation:
A vertical reflection is given by the equation y=−f(x) and results in the curve being "reflected" across the x-axis. A horizontal reflection is given by the equation y=f (−x) and results in the curve being "reflected" across the y-axis. You can see that the reflections are presented in the terms of a function.
As for translations, the function would just increase or decrease based on the translations.
In translation the graph of function moves certain distance and in reflection the graph of function reflected along the axis of reflection.
"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."
"It is a transformation in which the graph of function is reflected along the line of reflection."
"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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