Answer:
D.
Step-by-step explanation:
- The equation of the red quadratic graph is
.
- This is the parent quadratic function or the base of the quadratic functions.
- This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph. Recall that, when the scale factor is a fraction, such that
the graph is stretched horizontally.
- The dilated graph then becomes wider than the parent function.
- From the given function equations, the possible value of k can only be
.
- Therefore the blue graph has equation:
- The correct answer is D.