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A horizontal stretching is the stretching of the graph away from the y-axis. When a function is horizontally stretched by a factor, k, the x-value of the function is multiplied by the factor k.
Thus, given the parent function
, a horizontal stretch by a factor of 
means that the x-value of the function is multiplied by .
Thus, after a horizontal stretch by a factor of of the parent function , we have 
.
Refrection of the graph of a function over the y-axis results from adding minus to the x-term of the function.
Thus given the function,, refrection over the y-axis will result to the function 
.
Therefore, <span>the equation of the function that will result when the parent function, </span><span>, is horizontally stretched by a factor of </span><span> and reflected over the y-axis is </span>.
Thus, given the parent function
Thus, after a horizontal stretch by a factor of
Refrection of the graph of a function over the y-axis results from adding minus to the x-term of the function.
Thus given the function,
Therefore, <span>the equation of the function that will result when the parent function, </span><span>