Which of the following is a key property of the linear parent function? A. It goes through he origin B.it has a slope of 0 C. It is a curved line D. It is in quadrant II and IV

Respuesta :

A is correct because the linear function is f(x) = x so it is a straight line through the origin with a slope of 1.

B is incorrect because it has a slope of 1 not 0
 C is incorrect because it a straight diagonal line not a curvy one
D is incorrect because if you visualize the graph it goes through quadrant I and III not II and IV

Option (A) It goes through the origin is correct if the parent function is y = x.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete; parent function is not given.

The parent function is y = x

We have a parent function:

y = x

The slope of the function m = 1

It is a linear function or function for a straight line.

From the graph of function we can see It goes through the origin

Thus, option (A) It goes through the origin is correct if the parent function is y = x.

Learn more about the straight line here:

brainly.com/question/3493733

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