8adv.MATH.3.H
Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), and f(bx) for specific values of a, b, c, and d.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
graphparent functionf(x) = xf(x)af(x)f(x) + df(x - c)f(bx)specific valuesabcd
Skills
- identify (the parent function f(x) = x) #dok1
- describe (the effect of a, b, c, and d on the graph of f(x) = x) #dok2
- analyze (transformations of linear functions) #dok3
- predict (changes in the graph resulting from modifications of a, b, c, and d) #dok3
- compare (graphs of f(x) = x and its transformations) #dok2
Learning Targets
- I can recognize the parent function f(x) = x. #dok1
- I can identify values for a, b, c, and d in function notation. #dok1
- I can describe how multiplying by a changes the graph of f(x) = x. #dok2
- I can describe how adding d changes the vertical position of the graph. #dok2
- I can compare the graphs of f(x) = x and f(x) + d. #dok2
- I can analyze how the transformations af(x), f(x) + d, f(x - c), and f(bx) affect the graph of f(x) = x for specific values of a, b, c, and d. #dok3
- I can predict how changes in a, b, c, or d will transform the graph of the parent linear function. #dok3
Big Ideas
- Transformations change the appearance and position of a parent function’s graph.
- Understanding how each parameter (a, b, c, and d) affects the graph helps interpret and create linear functions.
Essential Questions
- What is the parent function f(x) = x, and what does its graph look like?
- How does multiplying the function by 'a' affect the graph of f(x) = x?
- In what ways do c and d change the position and orientation of the graph?
- How can you predict the transformation of the graph when specific values of a, b, c, and d are used?
- Why is it important to understand transformations of the parent function?