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

Answer:

$(1,20)$

Step-by-step 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 $10\times 2=20$.

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