Transformation of Graphs Worksheet
Grade 12 Math worksheet on graph transformations including translations, reflections, stretches, and compressions.
Includes
Standards
Topics
Transformation of Graphs
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Consider the function f(x) = x². Describe the transformation that maps f(x) to g(x) = (x - 3)² + 5.
2. If the graph of y = |x| is shifted 2 units to the left and 4 units down, write the new equation of the transformed function.
1. Reflecting the graph of y = eˣ across the x-axis results in the equation y = e⁻ˣ.
True
False
1. Which of the following transformations represents a horizontal stretch by a factor of 2 for the function y = f(x)?
y = 2f(x)
y = f(2x)
y = f(x/2)
y = f(x) / 2
1. To transform the graph of y = x³ into y = -2(x + 1)³ - 3, the transformations in order are: a vertical by a factor of 2, a reflection across the axis, a horizontal shift 1 unit, and a vertical shift 3 units.
1. Sketch the graph of y = -(x - 2)² + 1, starting from the basic graph of y = x².
2. The graph of a function f(x) is shown below. On the same grid, sketch the graph of g(x) = f(-x) + 2.