Answer:
The corresponding point for the function 4f(x) is (5 , 24)
Explanation:
* Lets revise some transformation
- A vertical stretching: is the stretching of the graph away from
the x-axis
- A vertical compression: is the squeezing of the graph toward
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.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed
by multiplying each of its y-coordinates by k.
* In our problem:
- Point (5 , 6) is on the graph of f(x)
- The function will be 4f(x), that means vertical stretching
or vertical compression
∵ k = 4
∵ 4 > 1
∴ It is a vertical stretch
∴ We will multiply the y-coordinate by 4
∴ y' = 4 × 6 = 24
* The corresponding point for the function 4f(x) is (5 , 24)