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
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