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Determine the value of y, if x is 9. y=|x|-6 Answer:

Determine the value of y y , if x x is 99.\newliney=∣x∣−6 y=|x|-6 \newlineAnswer:

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Transformations of absolute value functions: translations, reflections, and dilationsright chevron icon

Full solution

Q. Determine the value of y y , if x x is 99.\newliney=∣x∣−6 y=|x|-6 \newlineAnswer:
  1. Substitute xx into function: Substitute the value of xx into the function.\newlineWe are given the function y=∣x∣−6y = |x| - 6 and the value of xx as 99. We need to substitute x=9x = 9 into the function to find the value of yy.\newliney=∣9∣−6y = |9| - 6
  2. Calculate absolute value: Calculate the absolute value of xx. The absolute value of 99 is 99, since 99 is already a positive number. y=9−6y = 9 - 6
  3. Subtract 66 from xx: Subtract 66 from the absolute value of xx. Now we subtract 66 from 99 to find the value of yy. y=9−6y = 9 - 6 y=3y = 3

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