Describe the transformations from the graph of f(x)=∣x∣ to the graph of r(x)=∣x+2∣− 6.
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Given
To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:
-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:
-Divide both sides by -2:
Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2
One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:
As you can see the values are a valid solution for the linear equation.
So the solution is: