Question

Assessment

8. Compare the function with the parent function. Without graphing, what are the vertex, axis of
symmetry, and transformations of the given function?
(1 point)
y= | 10x – 2| -7

A. x = 2: translated to the right - unit and down 7 units
B. translated to the left – unit and up 7 units
C. translated to the left – unit and down 7 units
D. translated to the right – unit and down 7 units
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Answer 1

Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.