Question

How does the graph of y= Vx+2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.

Answer 1

Answer:

a) The graph is a horizontal shift of the parent function 2 units right.

Step-by-step explanation:

Explanation:-

Type of transformation                       Change to co-ordinate point

Vertical translation up 'd' units                   (x,y) →(x ,y+d)

Vertical translation down 'd' units               (x,y) →(x ,y- d)

Horizontal translation left 'c' units               (x,y) →(x-c ,y)

Horizontal translation right 'c' units            (x,y) →(x+c ,y)

Reflection over X-axis                                   (x,y) →(x ,-y)

Reflection over y-axis                                    (x,y) →(-x ,y)

Given graph  f(x)  = √x

The graph is a Horizontal shift of the parent function  '2' units  right

Therefore the transformation of the graph $y = \sqrt{x+2}$