The graph of y=|x|y=∣x∣y, equals, vertical bar, x, vertical bar is reflected across the xxx-axis and then scaled vertically by a factor of \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction. What is the equation of the new graph?
The statement is confusing, so I will re-write it to avoid confusions: "The
graph of y=|x| is
reflected across the x-axis and then scaled vertically by a factor of
1/4. What is
the equation of the new graph?
"
Answer
Solution:
1) Reflection acros the x-axis means (a,b) transforms into (a, -b). That is for the given x the reflected function will return the negative of the original value, that is:
y = - |x|
2) Scaling by a factor of 1/4 means that the new function is multiplied by 1/4
