Which represents the parent function shifted down two units?
A. f(x) = x - 2
B. f(x) = x + 2
A. f(x) = x - 2
The correct option that represents the parent function shifted down two units is:
A. f(x) = x - 2
By subtracting 2 from the x-values, the graph of the function is shifted down two units from the parent function.
To determine which function represents the parent function shifted down two units, we first need to identify the parent function. The most common parent function is the linear function f(x) = x.
The linear function f(x) = x represents a straight line that passes through the origin (0,0). This is the starting point or "parent" function.
Now, to shift this parent function down two units, we need to subtract 2 from the function. This means that for every x-value, we will subtract 2 from the corresponding y-value on the graph.
Looking at the options provided:
A. f(x) = x - 2 represents the parent function shifted down two units.
B. f(x) = x + 2 represents the parent function shifted up two units.
Therefore, the function that represents the parent function shifted down two units is A. f(x) = x - 2.