Question

if the function k(x) goes through the point (1,10) then the function 2 times k(x) must go through what point?​

Answer 1

`(1,20)`

Explanation:

Given:

The function
`k(x)` passes through the point
`(1,10)`.

For function
`g(x)` to transform to
`2k(x)`, the graph has to stretch in the y direction by a factor of 2.

Therefore, the point
`(1,10)` will have to stretch by factor 2.

Stretching by factor 2 means the
`y` value of the point has to get doubled.

The
`y` value of the point
`(1,10)` is 10.

So, new
`y` value after stretch will be
`10* 2=20`.

Therefore, the graph of
`2k(x)` must pass through
`(1,20)`.