Describe The Transformation G(x)=-|x-1|+3 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Describe the Transformation g(x)=-|x-1|+3 Step 1The parent function is the simplest form of the type of function given.Step 2The transformation from the first equation to the second one can be found by finding , , and for each equation.Step 3Factor a out of the absolute value to make the coefficient of equal to .Step 4Factor a out of the absolute value to make the coefficient of equal to .Step 5Find , , and for .Step 6The horizontal shift depends on the value of . When , the horizontal shift is described as: - The graph is shifted to the left units. - The graph is shifted to the right units.Horizontal Shift: Right UnitsStep 7The vertical shift depends on the value of . When , the vertical shift is described as: - The graph is shifted up units. - The graph is shifted down units.Vertical Shift: Up UnitsStep 8The sign of describes the reflection across the x-axis. means the graph is reflected across the x-axis.Reflection about the x-axis: ReflectedStep 9The value of describes the vertical stretch or compression of the graph. is a vertical stretch (makes it narrower) is a vertical compression (makes it wider)Vertical Compression: CompressedStep 10To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.Parent Function: Horizontal Shift: Right UnitsVertical Shift: Up UnitsReflection about the x-axis: ReflectedVertical Compression: CompressedStep 11

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