The graph of y=∣x∣, is scaled vertically by a factor of 1/5. What is the equation of the new graph?

Justification:

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

=> y = - (1/4) |x| which is the answer

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step-by-step explanation: