Question 13
Graphs of FunctionsThe equation of the graph above is
- A.y = (x − 3)3
- B.y = (x + 3)3
- C.y = x3 − 27
- D.y = −x3 + 27
Show the answer and explanation
Answer: A (y = (x − 3)3)
Explanation
The graph passes through (0, −27) and (3, 0), and its flat point (where it levels off) is at (3, 0). y = (x − 3)³ has exactly this: it is y = x³ shifted 3 units right.