Question 32
Graphs of FunctionsIf K is a constant, which of the following equations best describes the parabola shown above?
- A.y = Kx2
- B.x = y2 − K
- C.y = K − x2
- D.x2 = y2 − K
- E.y = (K − x)2
Show the answer and explanation
Answer: B (x = y2 − K)
Explanation
The parabola opens to the right and is symmetric about the x-axis, so x is a function of y². Its vertex is on the negative x-axis, which fits x = y² − K with K > 0.