Describe The Transformation G(x)=3x-1 - Mathway
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Enter a problem... Algebra Examples Popular Problems Algebra Describe the Transformation g(x)=3x-1 Step 1The parent function is the simplest form of the type of function given.Step 2Find the y-intercepts.Tap for more steps...Step 2.1The slope-intercept form is , where is the slope and is the y-intercept.Step 2.2Using the slope-intercept form, find the y-intercept for .Step 2.3Using the slope-intercept form, find the y-intercept for .Step 2.4List the y-intercepts.Step 3The vertical shift depends on the y-intercept value , where Step 4Since , the graph is shifted down units.Shifted down unitsStep 5Find the slopes.Tap for more steps...Step 5.1The slope-intercept form is , where is the slope and is the y-intercept.Step 5.2Using the slope-intercept form, find the slope for .Step 5.3Using the slope-intercept form, find the slope for .Step 5.4List the slopes.Step 6The vertical stretch depends on the slope.If , vertical compressionIf , vertical stretchIf , no vertical stretch or compression.Step 7Since , the graph is vertically stretched.Vertical stretchStep 8Since and do not have opposite signs, the graph is not reflected about the y-axis.Not reflected about the y-axisStep 9Describe the transformation from the function .Shifted down unitsVertical stretchStep 10
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