Respuesta :
Answer:
First part 7 units left and 5 units up
The 2nd part is v ≥-7 and the third part is Y≥5
Step-by-step explanation:
Done it in Edge and got it right :)
The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.
What is function?
- "It defines the relation between input and output values."
- "In function, for each input there is exactly one output."
What is transformation of function?
"It is nothing but mean transforming the function from one form to another."
For given question,
We have been given a function [tex]y=\sqrt{x}[/tex]
We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]
We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.
So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.
We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.
So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.
Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.
Learn more about the transformation of the graph of the function here:
https://brainly.com/question/11990011
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