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