Question

Please help, Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

The graph is shifted 7 units left and 5 units ___.
A. Left
B. Right
C. Up

Answer 1

(A)(C)Its 7 units left and 5 units up.

Step-by-step explanation: hope this helps

Answer 2

C. Up.

Explanation:

We have been given that the parent function
`y=√(x)` is transformed to the function
`y=√(x+7)+5`. We are asked to describe the given transformation.

Let us recall the transformation rules.

`f(x+a)=\text{Graph shifted to left by a units}`,

`f(x-a)=\text{Graph shifted to right by a units}`,

`f(x)+a=\text{Graph shifted upwards by a units}`,

`f(x)-a=\text{Graph shifted downwards by a units}`.

Upon comparing our transformed function with the parent function, we can see that the graph is shifted to left by 7 units and upwards by 5 units.

Therefore the correct choice is option C.