the graph of f(x)=x^2 is given below. Write the equation of a function g(x) which would stretch the graph of f(x) horizontally by a factor of 2.

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12-08-2024
Mathematics

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the graph of f(x)=x^2 is given below. Write the equation of a function g(x) which would stretch the graph of f(x) horizontally by a factor of 2.

Sagot :

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Wydhuangidn Wydhuangidn · Answer 1 · 2024-08-12T14:38:12-04:00

Answer:

g(x) = (x/2)^2

Step-by-step explanation:

When we stretch the graph by a factor of 2, we essentially push the graph's lines outwards by a factor of 2. We can do this in the equation by multiplying the x inside the equation by 1/2, which makes the y-values of the graph lower per x-value. An important idea to note is that the x/2 must be inside the parathesis, as multiplying the whole equation by 1/2 would result in a different graph.

Sagot :

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