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Identify the parent function, sketch the graph, and find the domain and the range for each function. 1.fx=x22.fx=-3Domain Range Domain Range 3.fx=x34.fx=1xDomain Range Domain Range Identify the parent function and describe the transformations.5.fx=(x+4)3Parent : Transformation: 6.fx=-2x-4Parent : Transformation: 7.fx=1x-18Parent:Transformation: 8.fx=-x+1-6Parent : Transformation: Given the parent function and a description of the transformation, write the equation of the transformed function fx .9.Square Root FunctionReflected in the x-axisTranslated 12 units down10.Absolute value-Translated 12 units up Translated 23 units left11.Reciprocal FunctionExpanded vertically by a factor of 4Reflected in the x-axis and translated 2 units up12.Greatest Integer FunctionReflected in the y -axis and translated 16 units upUse the graph of parent function to graph each function. Find the domain and the range of the new function.13. hx=3x+33-114. hx=1x-2+415. hx=-x-5-216. hx=x-4+2Graph each function.17. fx=x4-2 Graph hx=x4-218.fx=-1x+1 Graph hx=-1x+1Graph each piecewise function.19.fx=-1x+2 if x<-32 if -3<x<2x-1 if x≥220.fx=3 if x≤-1x2+2 if -1≤x<1x-1 if x≥1ANSWERSIdentify the parent function, sketch the graph, and find the domain and the range for each function. 1.fx=x22.fx=-3Quadratic FunctionDomain =(-∞,∞)Range =[0,∞)Constant FunctionDomain= (-∞,∞)Range =[-3]3.fx=x34.fx=1xCubic FunctionDomain=(-∞,∞)Range =-∞,∞Reciprocal FunctionDomain= (-∞,0)∪(0,∞)Range =(-∞,0)∪(0,∞)Identify the parent function and describe the transformations.5.fx=(x+4)3Parent : fx=x3Transformation: Translated 4 units left6.fx=-2x-4Parent : fx=xTransformation: Reflected in the x-axis Expanded vertically by a factor of 2 Translated 4 units right7.fx=1x-18Parent : fx=1xTransformation: Translated 18 units down8.fx=-x+1-6Parent : fx=xTransformation: Reflected in the x-axis Translated 6 units down Translated 1 unit leftGiven the parent function and a description of the transformation, write the equation of the transformed function fx .9.Square Root FunctionReflected in the x-axisTranslated 12 units downfx=-x-1210.Absolute value-Translated 12 units up Translated 23 units leftfx=x+23+1211.Reciprocal FunctionExpanded vertically by a factor of 4Reflected in the x-axis and translated 2 units upfx=-4x+212.Greatest Integer FunctionReflected in the y -axis and translated 16 units upfx=-x+16Use the graph of parent function to graph each function. Find the domain and the range of the new function.13. hx=3x+33-11595755133350hx=3x+33-1 169227593345Parent function fx=x3 Transformation:Expanded vertically by a factor of 3Translated 1 unit downTranslated 3 units leftD=-∞,∞R=-∞,∞14. hx=1x-2+41280160138430hx=1x-2+4 169227593345Parent function fx=1xTransformation:Translated 4 units upTranslated 2 units rightD=-∞,2)∪(2,∞R=-∞,4)∪(4,∞15. hx=-x-5-2138112595885hx=-x-5-2 169227593345Parent function fx=x Transformation:Reflected in the x-axisTranslated 2 units downTranslated 5 units rightD=[-5,∞)R=-∞,-216. hx=x-4+21280160138430hx=x-4+2 169227593345Parent function fx=xTransformation:Translated 2 units upTranslated 4 units rightD=-∞,∞R=[2,∞)Graph each function.17. fx=x4-2 Graph hx=x4-21288415130175fx=x4-2 128565490170hx=x4-2D=(-∞.∞)R=[0,∞)18.fx=-1x+1 Graph hx=-1x+1927735167005fx=-1x+1 927735174625 hx=-1x+1 D=(-∞.-1)∪(-1,∞)R=(-∞,0)Graph each piecewise function.19.fx=-1x+2 if x<-32 if -3<x<2x-1 if x≥220.fx=3 if x≤-1x2+2 if -1≤x<1x-1 if x≥1 ................
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