Mathematical Models Unit Test
2 of 202 of 20 Items
Question
The graph below describes one quadratic function, f(x). A second quadratic function is defined by g(x)=−(x−2)2+5. What are the maximum values for each function?
A parabola is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 4 to 2 in increments of 1 and the vertical axis goes from negative 4 to 4 in increments of 1. The parabola that opens downward has a vertex at left parenthesis negative 1 comma 3 right parenthesis, and passes through the points left parenthesis negative 3 comma negative 1 right parenthesis, left parenthesis negative 2 comma 2 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 1 comma negative 1 right parenthesis.
(1 point)
Responses
The maximum value of f(x) is 3 and the maximum value of g(x) is 2.
The maximum value of f left parenthesis x right parenthesis is 3 and the maximum value of g left parenthesis x right parenthesis is 2 .
The maximum value of f(x) is −1 and the maximum value of g(x) is 2.
The maximum value of f left parenthesis x right parenthesis is negative 1 and the maximum value of g left parenthesis x right parenthesis is 2 .
The maximum value of f(x) is −1 and the maximum value of g(x) is 5.
The maximum value of f left parenthesis x right parenthesis is negative 1 and the maximum value of g left parenthesis x right parenthesis is 5 .
The maximum value of f(x) is 3 and the maximum value of g(x) is 5.
The maximum value of f left parenthesis x right parenthesis is 3 and the maximum value of g left parenthesis x right parenthesis is 5 .