Answer:
The answer is the first graph in the second raw
Step-by-step explanation:
* Lets study the dilation:
- 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 y-coordinates by k.
- if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed
by multiplying each y-coordinates by k.
* Notice that the "roots" on the graph stay in their same
positions on the x-axis.
* Lets check our question:
∵ f(x) = 3g(x)
∵ f(x) = k.g(x)
∴ It is a vertical stretching or vertical compression
∵ k = 3 > 1
∴ It is vertical stretching with scale factor = 3
* That means we will multiply each y-coordinates in g(x) by 3
∴ The graph of f(x) will be away from x- axis and narrow to y- axis
∴ The answer is the first graph the second raw
Example: If g(x) = x²
∴ f(x) = 3x²
* Look to the graph:
- The red is the graph of g(x)
- The blue is the graph of f(x)
- f(x) = 3g(x)
