topic 2 transforming and comparing linear functions\nc. write an equation for each transformed function (…

topic 2 transforming and comparing linear functions\nc. write an equation for each transformed function ( g(x) ) in terms of\n( f(x) ) and then simplify the equation, if necessary.\n1. ( f(x)=3 x + 1 ) is translated 9 units up. 2. ( g(x) ) is parallel to ( f(x)=6 x - 10 ) and goes\nthrough the point ( (-2,-9) ).\n3. ( g(x) ) is parallel to ( f(x)=-6 ) and goes\nthrough the point ( (5,8) ). 4. ( g(x) ) is parallel to ( f(x)=-2 x - 7 ) and goes\nthrough the point ( left(\frac{3}{8}, 4 \frac{1}{4}\right) ).\n5. ( f(x)=-7 - 4 x ) is dilated vertically by a\nfactor of ( \frac{1}{2} ). 6. ( f(x)=\frac{1}{2} x + 2 ) is dilated vertically by a\nfactor of 2 and translated 4 units down.\n7. ( f(x)=3 - 5 x ) is reflected across the ( x )-axis\nand translated 16 units up. 8. ( g(x) ) is parallel to ( f(x)=3.5 ) and goes\nthrough the point ( (-3,-7.25) ).

topic 2 transforming and comparing linear functions\nc. write an equation for each transformed function ( g(x) ) in terms of\n( f(x) ) and then simplify the equation, if necessary.\n1. ( f(x)=3 x + 1 ) is translated 9 units up. 2. ( g(x) ) is parallel to ( f(x)=6 x - 10 ) and goes\nthrough the point ( (-2,-9) ).\n3. ( g(x) ) is parallel to ( f(x)=-6 ) and goes\nthrough the point ( (5,8) ). 4. ( g(x) ) is parallel to ( f(x)=-2 x - 7 ) and goes\nthrough the point ( left(\frac{3}{8}, 4 \frac{1}{4}\right) ).\n5. ( f(x)=-7 - 4 x ) is dilated vertically by a\nfactor of ( \frac{1}{2} ). 6. ( f(x)=\frac{1}{2} x + 2 ) is dilated vertically by a\nfactor of 2 and translated 4 units down.\n7. ( f(x)=3 - 5 x ) is reflected across the ( x )-axis\nand translated 16 units up. 8. ( g(x) ) is parallel to ( f(x)=3.5 ) and goes\nthrough the point ( (-3,-7.25) ).

Answer

Explanation:

Step1: Vertical translation formula

For a function (y = f(x)), a vertical translation (k) units up gives (y=f(x)+k). Given (f(x)=3x + 1) and (k = 9), then (g(x)=f(x)+9).

Step[SSE Completed, Client Connection Error][LLM SSE On Failure]