Graph the function. How is the graph a translation of f(x) = x2? y = (x -1)2 + 3
f(x) translated down 3 unit(s) and translated to the right 1 unit(s)
f(x) translated down 3 unit(s) and translated to the left 1 unit(s)
f(x) translated up 3 unit(s) and translated to the left 1 unit(s)
f(x) translated up 3 unit(s) and translated to the right 1 unit(s)
Solution:
Given f(x) = x2
When x is transformed to x-1, it means it is shifted to 1 unit left
When the function is overall shifted to 3 units upwards, we add 3.
Hence, the transformation is f(x) translated up 3 unit(s) and translated to the left 1 unit(s)
The graph of f(x) = x2
The graph of y = (x -1)2 + 3
Graph the function. How is the graph a translation of f(x) = x2? y = (x -1)2 + 3
Summary:
The graph of a transformation of f(x) = x2 to y = (x -1)2 + 3 is 1 unit left shift and 3 units upward shift.