Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
X^2-y^2
you would get x^2+xy-xy+y^2
the xy and -xy cancel
Solution is (2.667,0) but x=2.667
Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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