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Parent Functions Identification
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Parent Functions Identification
📊 Part 1: Function Classification
1. Which parent function is represented by the equation y = x²?
Linear function
Quadratic function
Cubic function
Square root function
2. The equation y = |x| represents which type of parent function?
Absolute value function
Exponential function
Reciprocal function
Square root function
3. Which of the following equations represent parent functions? (Check all that apply)
y = x
y = x² + 3
y = √x
y = 2^x
y = (x - 1)³
4. The reciprocal parent function has the equation:
y = x³
y = 1/x
y = √x
y = 2^x
🔍 Part 2: Function Properties
5. Fill in the blanks for the quadratic parent function y = x²:
Domain: ________________
Range: _________________
Y-intercept: ____________
6. Describe the shape of the absolute value parent function y = |x|:
7. Match each parent function with its correct domain:
y = √x
y = 1/x
y = x²
All real numbers
x ≥ 0
All real numbers except x = 0
8. Which parent function would best model the growth of bacteria over time?
Linear function
Quadratic function
Exponential function
Square root function
✨ Part 3: Transformations & Reflection
9. If the parent function y = x² is shifted up 4 units, what is the new equation?
New equation: y = _______________
10. Explain how you can identify a cubic parent function just by looking at its equation:
11. Reflection: Which parent function did you find most interesting today and why? How might this help you in other areas of math or real life?
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