How do you write the equation of the square root (radical) function that is shifted up 9 units, translated 7 units horizontally to the right, is reflected across the x-axis and is stretched 4 times that of its parent function?

1 Answer
Victor
Nov 25, 2017

# y = -4sqrt (x-7)) -9 #

Explanation:

You start out with the square root, so
# y = sqrt x #

Add to the equation of the shift upwards
# y = sqrt x + 9 #

Add to the equation the translation
# y = sqrt(x-7) + 9 #

Add to the equation the reflection
# -y = (sqrt (x-7)) + 9 #
# y= -(sqrt(x-7))-9#

Add to the equation the stretch
# y = -4(sqrt(x-7))-9 #

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