Final answer:
The linear parent function can undergo different transformations by changing the slope and y-intercept, resulting in shifts, reflections, and stretches in the graph.
Step-by-step explanation:
The linear parent function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept. In transformations, m and b may change, resulting in different descriptions.
If the slope becomes negative, it represents a reflection across the x-axis. If the y-intercept changes, it shifts the graph up or down. For example, if the y-intercept increases, the graph is shifted upward, and if it decreases, the graph is shifted downward.
Other transformations can include stretching or compressing the graph horizontally or vertically by multiplying the x or y values by a constant. Adding or subtracting a constant value can also shift the graph horizontally.