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GIVEN:  $f(x)=x^3$

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FIND:  Write the function $g(x)$ that has a horizontal shift of $f(x)$ $\\var{hvalue}$ units $\\var{hword}$.

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The transformed function is:

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$g(x) =$

", "showFeedbackIcon": true, "answer": "(x+{hshift})^3", "vsetRange": [0, 1], "extendBaseMarkingAlgorithm": true}], "functions": {}, "variables": {"vshift": {"definition": "random(-10..10 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "vshift"}, "hvalue": {"definition": "abs(hshift)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "hvalue"}, "hsign": {"definition": "sign(hshift)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "hsign"}, "hshift": {"definition": "random(-10..10 except 0)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "hshift"}, "vsign": {"definition": "sign(vshift)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "vsign"}, "hword": {"definition": "hdirection[(hsign+1)/2]", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "hword"}, "vvalue": {"definition": "abs(vshift)", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "vvalue"}, "vdirection": {"definition": "[\"down\",\"up\"]", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "vdirection"}, "hdirection": {"definition": "[\"right\",\"left\"]", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "hdirection"}, "vword": {"definition": "vdirection[(vsign+1)/2]", "group": "Ungrouped variables", "description": "", "templateType": "anything", "name": "vword"}}, "name": "PreCal Transformation of Functions Horizontal Shift", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}