Question

Select the correct answer. Consider the function f(x) = x2 and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? g(x) = 4·f(x) = 4x2

Answer 1

Step-by-step explanation:

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Answer 2

Given :  function f(x) = x²

 function g(x) = 4·f(x) = 4x²

To Find :  How will the graph of g(x) differ from the graph of f(x)

Graph of g(x) is graph of f(x) compressed vertically by a factor of 1/4

Graph of g(x) is graph of f(x) shifted down 4 units

Graph of g(x) is graph of f(x) shifted up 4 units

Graph of g(x) is graph of f(x) stretched vertically by a factor of 4

Solution:

g(x) = 4·f(x) = 4x²

Graph of g(x) is graph of f(x) stretched vertically by a factor of 4

Graph of g(x) is graph of f(x) compressed vertically by a factor of 1/4

=> g(x) = (1/4)f(x)  = x²/4

Graph of g(x) is graph of f(x) shifted down 4 units

=> g(x) = f(x) - 4

Graph of g(x) is graph of f(x) shifted up 4 units

=> g(x) = f(x) + 4

Graph of g(x) is graph of f(x) stretched vertically by a factor of 4

=>  g(x) = 4·f(x) = 4x²

Correct option

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