HW 4- 2 Name _____________________________ Reflecting Functions AA2 – – 1. The graph of represents the graph of after (1) a vertical shift upwards of 10 units followed by a reflection in the x-axis. (2) a reflection in the followed by a vertical shift of 10 units upward. x-axis (3) a leftward shift of 10 units followed by a reflection in the y-axis. (4) a reflection across the followed by a rightward shift of 10 units. x-axis 2. If the point lies on the graph of a function , then state the coordinates of the point that lie on the graph must of the function . 3. If the function were graphed, it would represent which of the following transformations to the graph of ? (1) A rightward shift of 4 units followed by a reflection in the x-axis. (2) A rightward shift of 4 units followed by a reflection in the y-axis. (3) A downward shift of 4 units followed by a reflection in the x-axis. (4) A leftward shift of 4 units followed by a reflection in the y-axis. 4. The graph of is show below on two separate grids. Give an equation and sketch a graph for the functions (a) and (b) . 5. If represents a parabola whose turning point is at and the function is defined by , then what are the f coordinates of the turning point of ? Explain your reasoning. f
Name _____________________________ HW 4- 2 – Reflecting Functions – AA2 1. The graph of represents the graph of after (1) a vertical shift upwards of 10 units followed by a reflection in the x-axis. (2) a reflection in the x-axis followed by a vertical shift of 10 units upward. (3) a leftward shift of 10 units followed by a reflection in the y-axis. (4) a reflection across the x-axis followed by a rightward shift of 10 units. 2. If the point lies on the graph of a function , then state the coordinates of the point that must lie on the graph of the function . 3. If the function were graphed, it would represent which of the following transformations to the graph of ? (1) A rightward shift of 4 units followed by a reflection in the x-axis. (2) A rightward shift of 4 units followed by a reflection in the y-axis. (3) A downward shift of 4 units followed by a reflection in the x-axis. (4) A leftward shift of 4 units followed by a reflection in the y-axis. 4. The graph of is show below on two separate grids. Give an equation and sketch a graph for the functions (a) and (b) . 5. If represents a parabola whose turning point is at and the function f is defined by , then what are the coordinates of the turning point of f ? Explain your reasoning.
Millonzi%20Unit%204%20HW%202%20AA2%202018-19%20Reflecting%20Functions.docx