Note: there are no method marks awarded for any transformation questions no matter how many marks are being awarded, they are all answer marks.ĭilation from the x-axis by a factor of aĭilation from the y-axis by a factor of aĮxample 3. In methods we are generally concerned with - reflections in the x-axis, y-axis and line y=x That means that this is the minus of the. Reflections simply flip the graph relative to a certain line. Graph B has its left and right sides swapped from the original graph its been reflected across the y-axis. Im having trouble putting the lets see if I move these other characters around. So lets make this right over here A, A prime. All dilation factors are positive.Ī dilation from the y-axis by a factor larger than one ( > 1) will result in the graph being stretched away from the y-axis.Ī dilation from the y-axis by a factor less than one ( 1) will result in the graph being stretched away from the x-axis.Ī dilation from the x-axis by a factor less than one ( < 1) will result in the graph being compressed towards the x-axis. If you reflect about the y-axis, then the y-coordinate remains the same, but you change the sign of the x-coordinate. eyes perceive visual information better while moving from the left to right. Translations are when we shift the entire graph left, right, up or down.ĭilations stretch or compress the graph. Flipping the image horizontally will create a mirror reflection effect. Consider the basic graph of the function: y f(x) All of the translations can be expressed in the form: y a f b (x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x). To reflect about the y-axis, multiply every x by -1 to get -x. There are three types of transformations which we will be dealing with: translations, dilations and reflections. A function can be reflected about an axis by multiplying by negative one.
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