Grade 9 Function Transformation Worksheet
Explore function transformations including translations, reflections, and dilations with this Grade 9 math worksheet.
Includes
Standards
Topics
Function Transformation
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. What transformation is represented by the function g(x) = f(x) + 3?
Vertical translation up by 3 units
Vertical translation down by 3 units
Horizontal translation right by 3 units
Horizontal translation left by 3 units
2. If h(x) = -f(x), what transformation has occurred?
Reflection across the x-axis
Reflection across the y-axis
Vertical stretch
Horizontal compression
3. A function transformation of the form f(x - h) represents a horizontal shift. If h > 0, the shift is to the .
4. When a function is multiplied by a constant 'a' such that g(x) = a * f(x) and |a| > 1, it results in a vertical .
5. Describe the transformations applied to the parent function f(x) = x² to obtain the function g(x) = 2(x - 1)² + 3.
6. The graph of y = f(-x) is a reflection of y = f(x) across the x-axis.
True
False
7. Given the graph of f(x) below, sketch the graph of g(x) = -f(x) + 2 on the same coordinate plane.
Note: Assume f(x) is a V-shape graph with vertex at (0,0) and passing through (1,1) and (-1,1) for this exercise.