10th-Grade-Math---USA
Quadratic-Functions
Easy
Question
The maximum value of the function
is
- 12
- 16
- 24
- 28
The correct answer is: 28
Related Questions to study
10th-Grade-Math---USA
The axis of symmetry for the function f(x) = 2x2 – 5x + 4 is
The axis of symmetry for the function f(x) = 2x2 – 5x + 4 is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The vertex of the quadratic function
is
The vertex of the quadratic function
is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The rate of change of the
in the interval
is
The rate of change of the
in the interval
is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The true statement regarding the function (x - 6)2 +7 when compared with x2 is
The true statement regarding the function (x - 6)2 +7 when compared with x2 is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The Quadratic parent function shifted to 2.5 units left & 0.5 units down. The new quadratic function is
The Quadratic parent function shifted to 2.5 units left & 0.5 units down. The new quadratic function is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The interval where the function
is increasing is
The interval where the function
is increasing is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The domain of the function
is
The domain of the function
is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The data in the table represents the function
![](data:image/png;base64,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)
The data in the table represents the function
![](data:image/png;base64,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)
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The maximum height of function
with initial vertical velocity 200ft/s initial height 0 ft is
The maximum height of function
with initial vertical velocity 200ft/s initial height 0 ft is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
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)
The equation that best represents the above graph is
![](data:image/png;base64,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)
The equation that best represents the above graph is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The maximum value of function
is
The maximum value of function
is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
Convert
into standard form
Convert
into standard form
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The vertex of the quadratic function
is
The vertex of the quadratic function
is
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The rate of change of the function
in the interval ![1 less or equal than x less or equal than 4](data:image/png;base64,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)
The rate of change of the function
in the interval ![1 less or equal than x less or equal than 4](data:image/png;base64,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)
10th-Grade-Math---USAQuadratic-Functions
10th-Grade-Math---USA
The true statement among the following regarding (x – 2.5)2 + 8 when compared with x2 is
The true statement among the following regarding (x – 2.5)2 + 8 when compared with x2 is
10th-Grade-Math---USAQuadratic-Functions