We are asked to choose the correct options of the offered choices around the graph the a direct parent function.

You are watching: Which of the following are characteristics of the graph of the linear parent function

Let us examine our given options one by one.

A. It has a steep of 2.

Since we recognize that equation of the linear parent function is and also it has a slope of 1, therefore, choice A is no a exactly choice.

B. That goes with the origin.

Since we understand that heat passes with the origin (0,0), therefore, choice B is the correct choice.

C. The is a directly line.

Since price of readjust of the straight parent role is always 1, therefore, it creates a directly line and option C is the exactly choice.

D. It is in quadrants 1st and 3rd.

Since line lies in first and third quadrants, therefore, option D is correct selection as well.

A, B, C

Step-by-step explanation:

The parent function of a linear equation is

y=x

where the y intercept is in ~ the origin therefore A applies

linear lines space straight lines

and the steep of the equation is 1 since we can assume the coefficient before the x in the equation =1

It is NOT choice D because if this would median that the equation the the parent role has a negative slope i beg your pardon is no true

hope this helps

The answers space B , C , D

Step-by-step explanation:

* Lets describe the meaning of direct parent function

- A direct parent duty is the equation y = x or f(x) = x

- A parent function is the simplest equation of a function

- It stood for by a directly line passing v the origin point O

- The x-coordinate and the y-coordinate of any points lie on it are equal

- The steep of the heat is 1 due to the fact that the steep is the readjust of Δy/Δx

and Δy = Δx

* allows solve the problem

- The qualities of the graph the the direct parent duty are

∵ linear parent function is f(x) = x and f(x) = y

∴ x = y

∵ The slope = Δy/Δx

∵ Δx = Δy since x = y

∴ The slope of the is 1

B. It has actually a slope of 1

∵ y = 0

∵ If x = 0 then y have to = 0

∴ that goes through the origin

C. That goes through the origin

∵ that is a straight function

∵ all linear role represented by a right line

∴ The graph of the direct parent role is a directly line

D. That is a directly line

* The answers are B , C , D

A. A right line i think that’s the answer

There room no choices given, Please write-up the choices in the comment.

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