Question

Which function has a graph that intersects the y-axis at 3

Answer 1

Given:

`f(x)=(1)/(3) x-3`

`g(x)=3 x-3`

`p(x)=-3 x+3`

`3 h(x)=x`

To find:

Which function has a graph that intersects the y-axis at 3.

Solution:

General form of equation of a line:

y = mx + c

where "y" is the function, "m" is the slope and "c" is the y-intercept.

Option A:
`f(x)=(1)/(3) x-3`

y-intercept of this function is -3.

It is not true.

Option B:
`g(x)=3 x-3`

y-intercept of this function is -3.

It is not true.

Option C:
`p(x)=-3 x+3`

y-intercept of this function is 3.

It is true.

Option D:
`3 h(x)=x`

y-intercept of this function is 0.

It is not true.

Therefore
`p(x)=-3 x+3` has a graph that intersects the y-axis at 3.