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Sagot :
Answer:
- C. (1, 4)
Step-by-step explanation:
Let's take a simple function:
- f(x) = aˣ
If its graph passes through the point (2, 4), we have:
- f(2) = 4
- a² = 4 ⇒ a = 2
- f(x) = 2ˣ
If g(x) = f(2x), then:
- g(x) = 2²ˣ
If g(x) = 4, then:
- 4 = 2²ˣ ⇒ x = 1 ⇒ the point is (1, 4)
Or g(2) is:
- g(2) = f(4) = 2⁴ = 16 ⇒ the point is (2, 16)
As we see correct choice is C
Answer:C (1,4)
Step-by-step explanation:
When a transformed function is in the form , the graph is stretched or compressed horizontally. When , the curve is compressed horizontally by a factor of .
For function g, , the the graph is compressed by a factor of . Each point on the graph of function g will be half as far from the y-axis as the corresponding point on the graph of function f. Since the point is on the graph of f, the point must be on the graph of g.
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