Question

The parent function f is transformed to create a new line g. The new line is steeper than the parent function, which means it has a greater slope, and is shifted up 5 units. These transformations in slope and vertical shift indicate changes in the line's characteristics and position on the coordinate plane.

Answer 1

The slope determines the steepness of a line. A higher slope value means a steeper line. The new line g is steeper than the parent function f and is shifted up 5 units.

Step-by-step explanation:

The slope of a line determines its steepness or inclination. A higher slope value indicates a steeper line, while a lower slope value indicates a flatter line. In this case, the new line g is steeper than the parent function f, which means it has a greater slope.

Additionally, the line g is shifted up 5 units from the parent function f. This means that each point on the line g is 5 units higher than the corresponding point on the parent function f.

Overall, the slope and vertical shift indicate changes in the line's characteristics and position on the coordinate plane.