Explain how to identify a transformation of the function y = x3 by looking at a graph. What do you look for to determine a translation? A reflection? A stretch or compression?
What do you look for to determine a translation?
O A.
To determine a translation, look at the y-values of a pair of points one x-unit apart in the parent and again in the new function. If the ratio of the y-values in the parent is different from the ratio of y-values in the new graph, then there is a translation. The ratio of the two ratios gives its value.
B.
To determine a translation, look at the end behaviors. If the new function's end behavior matches the parent's, there is no translation. If not, look to see whether the translation is across the x-or y-axis.
O C.
To determine a translation, look at the end behaviors. If the new function's end behavior matches the parent's, there is a translation.
• D. To determine a translation, look at the point where the graph is least steep. That point is at the origin in the parent graph, so the coordinates of that point in the new graph show the translation