1. Parent Functions and Transformations
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The given function is linear, so its parent function is f(x)=x. We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.
To graph both of the functions, we will use their slopes and y-intercepts.
Function | Slope-intercept form | Slope | y-intercept |
---|---|---|---|
y=x | y=1x+0 | 1 | 0 |
y=-x | y=-1x+0 | -1 | 0 |