How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

Explanation:

Given: #y = sqrt(x) - 2#

The parent function is #g(x) = sqrt(x)#

The domain is limited because of the radical: #x >= 0#

The #-2# outside of the radical determines the vertical shift, #2# units down.

Graph of the parent function #g(x) = sqrt(x)#:
graph{sqrt(x) [-5, 10, -5, 5]}

Graph of the given function #g(x) = sqrt(x) - 2#:
graph{ sqrt(x) - 2 [-5, 10, -5, 5]}

How does the graph of y= square root of x+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.

Question

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

Gauthmathier2229

Grade 12 · 2021-09-05

YES! We solved the question!

Check the full answer on App Gauthmath

How does the graph of How does the graph of y= square root of x+2 compar - Gauthmath 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.

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

Gauthmathier2765

Grade 12 · 2021-09-05

Answer

Explanation

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

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How does the graph of y= square root of x+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.

Question

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

Gauthmathier8277

Grade 10 · 2021-07-04

YES! We solved the question!

Check the full answer on App Gauthmath

How does the graph of How does the graph of y= square root of x+2 compar - Gauthmath 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.

How does the graph of y sqrt x 2 compare to the graph of the parent square root function?

Gauthmathier1396

Grade 10 · 2021-07-04

Answer

Explanation

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What are characteristics of the graph of the square root parent function?

The parent function of a square root function is y = √x. Its graph shows that both its x and y values can never be negative. This means that the domain and range of y = √x are both [0, ∞). The starting point or vertex of the parent function is also found at the origin.

What is the domain of the function y sqrt X?

The domain of y=sqrt(x) is all real numbers greater than or equal to 0. The range of y=sqrt(x) is all real numbers greater than or equal to 0.

What is the range of the function y Squareroot x 5?

The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .