Question

Which of the following points must the graph of the linear parent function cross?

A. (0,0)
B. (0,-1)
C. (1,-1)
D. (1,0)

Answer 1

It must pass through (0,0).

Answer 2

The correct option is A.

Explanation:

The equation of linear parent function is

`f(x)=x`

it can be written as

`y=x`

The linear parent function passes through the points (a,a), where a is any real number.

Put x=0, in this equation.

`y=0`

The linear parent function passes trough the point (0,0), therefore option is A.

Put x=1, in this equation.

`y=1`

The linear parent function passes trough the point (1,1), therefore options B, C and D are incorrect.