Question

Given that (-3,6) is on the graph of f(x), find the corresponding point for the function 1/3f(x)

Answer 1

Answer:

-3,2

Step-by-step explanation:

I just took it and got it right...

Answer 2

Answer:

The corresponding point of (-3 , 6) is (-3 , 2)

Step-by-step explanation:

* Lets talk about some transformation to solve the problem

- A vertical stretching is the stretching of the graph away from

 the x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

 by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

- If 0 < k < 1 (a fraction), the graph is f(x) vertically compressed

 by multiplying each of its y-coordinates by k.

* Now lets solve the problem

∵ f(x) transformed to be 1/3 f(x)

∴ The graph of f(x) is stretched or compressed vertically

∵ k = 1/3

∴ 0 < k < 1

∴ The graph is compressed vertically

- The y-coordinate must be multiplying by k

∵ The y-coordinate of the point is 6

∵ 6 × 1/3 = 2

∴ The image of the point (-3 , 6) is (-3 , 2)

* The corresponding point of (-3 , 6) is (-3 , 2)