44.6k views
2 votes
Y = -2√x

1) Vertical stretch factor of 2
2) Vertical reflection (over x-axis)
3) Both A and B
4) None of these

User WiseGuyEh
by
8.4k points

1 Answer

1 vote

Final answer:

The equation y = -2√x includes both a vertical stretch factor of 2 and a vertical reflection over the x-axis, indicated by the negative sign and the coefficient of 2.

Step-by-step explanation:

The equation y = -2√x represents a function where there is a vertical stretch by a factor of 2 and a vertical reflection across the x-axis. The negative sign in front of the 2 indicates the reflection, as it essentially inverts the graph around the x-axis.

The coefficient of 2 stretches the graph vertically, meaning for a given x, y will now be twice as far from the x-axis compared to the basic √x graph. Therefore, this equation involves both a vertical stretch and a vertical reflection, which corresponds to option 3: Both A and B.

User David Siegel
by
8.4k points