Which
which of the following are characteristics of the graph of the linear parent
function?
check all that apply
a. it is a parabola.
b. it has a slope of 1.
c. it goes through the origin.
o
d. it is a straight line.

The answers are B , C , D

Step-by-step explanation:

* Lets explain the meaning of linear parent function

- A linear parent function is the equation y = x or f(x) = x

- A parent function is the simplest equation of a function

- It represented by a straight line passing through the origin point O

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

- The slope of the line is 1 because the slope is the change of Δy/Δx

  and Δy = Δx

* Lets solve the problem

- The characteristics of the graph of the linear parent  function are

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

∴ x = y

∵ The slope = Δy/Δx

∵ Δx = Δy because x = y

∴ The slope of it is 1

B. It has a slope of 1

∵ y = 0

∵ If x = 0 then y must = 0

∴ It goes through the origin

C. It goes through the origin

∵ It is a linear function

∵ All linear function represented by a straight line

∴ The graph of the linear parent function is a straight line

D. It is a straight line

* The answers are B , C , D

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step-by-step explanation:

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step-by-step explanation: