Graphing Radical Equations using Shifts - Concept

Concept (1)

When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

Sample Problems (5)

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Graphing Radical Equations using Shifts - Problem 1

Problem 1

Writing a rational function based on a verbal description of the transformations on the parent.
Graphing Radical Equations using Shifts - Problem 2

Problem 2

Graphing vertical shifts on radical functions using transformations.
Graphing Radical Equations using Shifts - Problem 3

Problem 3

Graphing horizontal shifts on radical functions using transformations.
Graphing Radical Equations using Shifts - Problem 4

Problem 4

Graphing vertical stretches and compressions on radical functions using transformations.
Graphing Radical Equations using Shifts - Problem 5

Problem 5

Reflecting radical graphs using transformations on the parent function.