Transformation of Graphs Worksheet
Grade 10 Math worksheet covering translations, reflections, and dilations of functions.
Includes
Standards
Topics
Transformation of Graphs
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. If the graph of y = f(x) is translated 3 units up, what is the new equation?
y = f(x + 3)
y = f(x) + 3
y = f(x - 3)
y = f(x) - 3
2. Which transformation reflects the graph of y = f(x) across the x-axis?
y = -f(x)
y = f(-x)
y = f(x) + c
y = c * f(x)
3. A horizontal translation of the graph y = f(x) by 'h' units to the right is represented by the equation y = f( )
4. A vertical stretch of the graph y = f(x) by a factor of 'a' (where a > 1) is represented by the equation y =
5. Describe the transformations applied to the graph of y = x² to obtain the graph of y = -(x - 2)² + 1.
6. The graph of y = f(x) reflected across the y-axis is given by y = -f(x).
True
False
7. Given the graph of f(x) = x², sketch the graph of g(x) = (x + 3)² - 2 on the coordinate plane below. Clearly label both graphs.