Question

if graph A has the points (-1,1) and (1,1) and graph A' has the points (-1,4) and (1,4) has graph A to A' been vertically or horizontally stretched?

Answer 1

To determine whether graph A has been vertically or horizontally stretched to create graph A', we can look at the changes in the y-coordinates of the points.

For graph A, the points are:
- (-1, 1)
- (1, 1)

For graph A', the points are:
- (-1, 4)
- (1, 4)

The x-coordinates (-1 and 1) remain the same in both graphs. However, the y-coordinates have changed from 1 in graph A to 4 in graph A'. This indicates that the points have been moved up along the y-axis.

To confirm that this transformation is a vertical stretch, we compare the y-coordinates:
- The original y-value in graph A is 1.
- The new y-value in graph A' is 4.

Since the y-coordinates have increased by a factor of 4 (4 divided by 1), this is evidence of a vertical stretch.

In conclusion, graph A has been vertically stretched to create graph A'.