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Suppose f(x)= x^2. What is the graph of g(x)= f(4x)?

Suppose f(x)= x^2. What is the graph of g(x)= f(4x)?-example-1
User TLama
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5.7k points

2 Answers

6 votes

Answer: a

Step-by-step explanation: a p e x :)

User Andre Schweighofer
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5.6k points
5 votes

Answer:

Option A is the correct one.

Explanation:

If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)

Now, for any real value of x, the g(x) is positive.

Therefore, option B and option C is not correct.

Now, from the graph given in option A, it is clear that for y = 5, x value is near ±
(1)/(2).

So, putting x =
(1)/(2) in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.

Therefore, option A is the correct one. (Answer)

User Bryan Dunphy
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6.1k points