The graph shows the quadratic function f, and the table shows the quadratic function g.




x -5 -4 -3 -2 -1 0 1

g(x) 10 7 6 7 10 15 22

A.
The functions f and g have the same axis of symmetry and the same minimum values.
B.
The functions f and g have different axes of symmetry and different minimum values.
C.
The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
D.
The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

Which statement is true?

Respuesta :

Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

How to analyze the function?

Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.

Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.

Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

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