Question

Assume the parent function has been shifted up

Answer 1

Answer:

If $y=(x-2)^2+4$ is the transformed function, then the parent function $y=x^2$ has been shifted up vertically by 4 units and horizontally right by 2 units

Step-by-step explanation:

Assume the function is $y=f(x)$ is the parent function.

A vertical shift,b units up  will transform the function to $y=f(x)+b$ .

A horizontal shift $a$ units.

$y=f(x-a)+b$

For instance, if $y=x^2$, b=4, and a=2 units.  

Then the transformed function becomes:

$y=(x-2)^2+4$

Answer 2

Answer:

Vertical shift is 1 unit up

Step-by-step explanation:

Horizontal shift is pi/4 units right

The period is pi/2