Answer:
Horizontally compress the graph of f(x) by a factor of 30 ⇒ answer b
Step-by-step explanation:
* Lets revise the vertical and horizontal stretching or compressing
a graph
- A vertical stretching is the stretching of the graph away from the
x-axis
- If k > 1, then 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 , then the graph of y = k•f(x) is the graph of f(x)
vertically
compressed by multiplying each of its y-coordinates by k
- A horizontal stretching is the stretching of the graph away from
the y-axis
- If 0 < k < 1 , then the graph y = f(k·x) is the graph of f(x) horizontally
stretched by dividing each of its x-coordinates by k
- A horizontal compression is the squeezing of the graph toward
the y-axis.
- If k > 1, then the graph of y = f(k•x) is the graph of f(x) horizontally
compressed by dividing each of its x-coordinates by k.
* Lets solve the problem
- The graph of the function f(30 x) can be obtained from the
graph of y = f(x)
∵ x multiplied by 30
∴ f(x) is stretched or compressed horizontally
- If the factor greater than 1 then the graph compressed
∵ 30 > 1
∴ f(x) is compressed horizontally by scale factor 30 to obtained
the function f(30 x)
* Horizontally compress the graph of f(x) by a factor of 30
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