How do you identify the transformation of #h(x)=-sqrt(x+1)+9#?

1 Answer
jeffwwally
Mar 3, 2017

Reflection over the x axis
Horizontal translation of one unit to the left
Vertical translation of nine units up

Explanation:

Let's break this problem down.

#h(x)=-sqrt(x+1)+9#

The negative sign obviously means a reflection. Because it is outside the square root sign, it is a reflection over the x axis.

The #+1# inside the square root sign means it will be a horizontal translation. It will be to the left because it is positive.

The #+9# at the end of the equation will mean a vertical shift 9 units up.

An image of the graph you can open in browser:
Red line is parent function
Blue line is transformed function
https://gyazo.com/1a573c9fdc5f0cc16ccb9acd3d9c1a36

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