Without graphing the function, state the shift(s) that are applied to the graph of f(x) = x2 to graph the given function. If
the graph of f(x) = x2 must be rotated about the x-axis, state this.
-$$f ( x ) = x ^ { 2 } - 4$$
A) left 4 units
B) up 4 units
C) down 4 units
D) right 4 units

Question

Quizplus · Accepted Answer

The given function is obtained by subtracting 4 from the original function f(x) = x^2, which shifts the graph down 4 units. There is no horizontal shift or rotation involved in this transformation. Therefore, the best choice is C, down 4 units.

Without Graphing the Function, State the Shift(s) That Are Applied f(x)=x2−4f ( x ) = x ^ { 2 } - 4f(x)=x2−4

Without Graphing the Function, State the Shift(s) That Are Applied $f ( x ) = x ^ { 2 } - 4$