The graph below shows the quadratic function f, and the table below shows the quadratic function g.x -2 -1 0 1 2 3 4g(x) -1 0.75 2 2.75 3 2.75 2Which statement is true?The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.The functions f and g have different axes of symmetry and different maximum values.The functions f and g have the same axis of symmetry and the same maximum values.
Question
Answer:
From the graph of f(x):⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of f(x) = 4
From the table of g(x):
I have attached the graph of the table of g(x)
⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of g(x) = 3
So, The correct statement will be:
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
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