1.Given: š‘”(š‘„)=š‘„2 6g(x)=x2 6Parent fu Question

Question

1.Given: š‘”(š‘„)=š‘„2 6g(x)=x2 6Parent function: š‘“(š‘„)=š‘„2f(x)=x2Transformation: Vertical shift up 6Answer: š‘”(š‘„)=š‘“(š‘„) 6g(x)=f(x) 6 āœ“

2.Given: š‘”(š‘„)=š‘„2āˆ’3g(x)=x2āˆ’3Parent function: š‘“(š‘„)=š‘„2f(x)=x2Transformation: Vertical shift down 3Answer: š‘”(š‘„)=š‘“(š‘„)āˆ’3g(x)=f(x)āˆ’3 āœ“

3.Given: š‘”(š‘„)=āˆ’(š‘„āˆ’2)3g(x)=āˆ’(xāˆ’2)3a.) Parent function: š‘“(š‘„)=š‘„3f(x)=x3 āœ“b.) Transformations:Horizontal shift right 2 ā†’ š‘“(š‘„āˆ’2)f(xāˆ’2)Reflection across x-axis ā†’ āˆ’š‘“(š‘„āˆ’2)āˆ’f(xāˆ’2)Answer: š‘”(š‘„)=āˆ’š‘“(š‘„āˆ’2)g(x)=āˆ’f(xāˆ’2) āœ“

4.Given: š‘”(š‘„)=āˆ£š‘„āˆ’1āˆ£ 5g(x)=āˆ£xāˆ’1āˆ£ 5a.) Parent function: š‘“(š‘„)=āˆ£š‘„āˆ£f(x)=āˆ£xāˆ£ āœ“b.) Transformations:Horizontal shift right 1 ā†’ š‘“(š‘„āˆ’1)f(xāˆ’1)Vertical shift up 5 ā†’ š‘“(š‘„āˆ’1) 5f(xāˆ’1) 5Answer: š‘”(š‘„)=š‘“(š‘„āˆ’1) 5g(x)=f(xāˆ’1) 5 āœ“

5.Given: š‘”(š‘„)=2š‘„g(x)=2xa.) Parent function: š‘“(š‘„)=š‘„f(x)=x āœ“b.) Transformation:Vertical stretch by factor of 2 ā†’ 2š‘“(š‘„)2f(x)Answer: š‘”(š‘„)=2š‘“(š‘„)g(x)=2f(x) āœ“
Details
No Answers Yet
Add Your Answer

Have a similar question?




Ask Your Question