Notes 1.1 Examples

Name Date 1.1 Notetaking with Vocabulary (continued) Extra Practice In Exercises 1-4, identify the function family to which belongs. Compare the graph of f to the graph of its parent function. Linear 1. y 2. Constant 12 2 \[f(x)=-\frac{1}{4}x+yyy^{4y=x}\] reflection in Translation x-axis, vertical down 4 units Shrink, and a translation up 8 units -4 -2 2 4x 4 4 4 \[f(x)=-3\] Skinnier Absolute 3. 4. Quadratic Value Translation right I unit and up 4 units \[f(x)=5|x|\] Vertical 8 4 4 BA Stretch 4 \[f(x)=(x-1)^{2}+4\rfloor\] -8 4 f(x) In Exercises 5-10, graph the function and its parent function. Then describe the transformation. 6. absolute value \[f(x)=-9\] 7. \(f(x)=|x|+1\) 5. \(f(x)=x-7\) XX-7 Y 8 -2-2-7-9 -23 4 \[f(x)\] -12 -1-1-7-8 -4 4 4 4 01 00-7 -7 4 4 12 ٦-١ ما 23 22-7-5 Translation down Translation up I unit 10 units from the from the absolute Constant parent value parent function. function Translation down 7 units from the linear parent function Copyright © Big Ideas Learning, LLC Algebra 2 5 All rights reserved. Name Date 1.1 Notetaking with Vocabulary (continued) 8. \(h(x)=-x^{2}\) 9. \(f(x)=\frac{1}{2}x^{2}\) 10. \(g(x)=6|x|\) y y y 4 4 8 2 2