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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What happens to the graph of f(x) = 2x³?
💡 Hint: Think about how the value of 'a' affects the height of the graph.
Question 2
Easy
If f(x) = x³ + 5, how does it transform the graph?
💡 Hint: Focus on the '+5' outside the function.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What type of transformation is applied if f(x) = 4(x - 3)³ + 2?
- Vertical Stretch
- Vertical Compression
- Horizontal Shift
💡 Hint: Look at the coefficient of x³.
Question 2
True or False: A transformation of f(x) = (x - 5)³ shifts the graph to the left.
- True
- False
💡 Hint: Consider what the negative number does to the x variable.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider f(x) = 4(x - 2)³ + 5. Calculate key features such as intercepts and describe the transformations.
💡 Hint: Start by calculating the y-intercept first.
Question 2
For the function g(x) = -0.5(x + 3)³ - 2, determine its key transformations and reflective properties.
💡 Hint: List the transformations in order, reflecting on how each transformation affects the next.
Challenge and get performance evaluation