Question

using parent functions and transformations, draw a graph in quadrant II and move it to quadrant IV. Describe the transformations.You can only use linear, absolute value, and quadratic functions

Answer 1

To move a graph from quadrant II to quadrant IV while using linear, absolute value, and quadratic functions, apply vertical reflection and horizontal translation.

Step-by-step explanation:

To move a graph from quadrant II to quadrant IV while using linear, absolute value, and quadratic functions, we can apply the following transformations:

1. Vertical Reflection: Reflect the graph across the x-axis to move it from quadrant II to quadrant IV. This can be done by multiplying the function by -1.
2. Horizontal Translation: Translate the graph horizontally to the desired position in quadrant IV. This can be accomplished by adding or subtracting a constant value from the x-values.

By applying these transformations, the graph can be moved from quadrant II to quadrant IV.

Answer 2

Consider the modular function f(x) = -|x| whose graph is given by:

Reflecting it over x-axis, which is made by multiplying the function by -1, we have:

This transformation is also equivalent to a 180° rotantion over the origin. The quadrant II of the function was turned into the quadrant IV.