Rewrite each function to make it easy to graph using a translation. Describe the graph.
1. y=√(9x-63) +4
2. y=(small 3)√(8x-64) -5
3. y=(small 3)√(-27x-27) +4
4. y=√16x-32
10 points b.a.
1. y=3*sqrt(x+7)+4 because 9x-63=9(x+7)=3^2(x-7)
2. y=2*cube_sqrt(x-8)-5 because 8x-64=8(x-8)=2^3(x-8)
3. y=3*cube_sqrt(-x-1)+4 because -27x-27=27(-x-1)=3^3*(-x-1)
4. y=4*sqrt(x-2) because 16x-32=16(x-2)=4^2(x-2)
also remember sqrt(a*b)=sqrt(a)*sqrt(b)
sqrt(a^2)=abs(a)
sqrt: square root
cube sqrt=(small 3 root)=cube root
abs=absolute
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Verified answer
1. y=3*sqrt(x+7)+4 because 9x-63=9(x+7)=3^2(x-7)
2. y=2*cube_sqrt(x-8)-5 because 8x-64=8(x-8)=2^3(x-8)
3. y=3*cube_sqrt(-x-1)+4 because -27x-27=27(-x-1)=3^3*(-x-1)
4. y=4*sqrt(x-2) because 16x-32=16(x-2)=4^2(x-2)
also remember sqrt(a*b)=sqrt(a)*sqrt(b)
sqrt(a^2)=abs(a)
sqrt: square root
cube sqrt=(small 3 root)=cube root
abs=absolute