5272道题目5525 条题源记录 · 相同内容已合并
抛物线图象与二次建模进阶
An object is launched from a height of 132 feet above the ground. A quadratic function \( f \) models the height above the ground, in feet, of the object t seconds after it is launched. According to the model, 3 seconds after the object is launched, it reaches a maximum height of 276 feet above the ground. Which equation defines ?
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抛物线图象与二次建模挑战
The graph of \( y=6x^2+bx+c \) is shown, where b and c are constants. What is the value of \( bc \)?
原库参考解析
抛物线图象与二次建模挑战
The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as \( y=27x^2-bx-18 \), where b is a constant. What is the value of b?
原库参考解析
抛物线图象与二次建模挑战
The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as \( y=18x^2-bx-48 \), where b is a constant. What is the value of b?
原库参考解析
抛物线图象与二次建模进阶
\( h(t)=-16t^2+b \)
The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 43.56 feet above the ground when it is dropped at \( t=0 \). How many seconds after being dropped does the function estimate the object will hit the ground?
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抛物线图象与二次建模进阶
What is the y-intercept of the graph of \( y=4x^2+3x+8 \) in the xy-plane?
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抛物线图象与二次建模进阶
What is the y-intercept of the graph of \( y=8x^2+7x+9 \)in the xy-plane?
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抛物线图象与二次建模挑战
The equation \( y=−4.9(x−9.1)^{2}+12,400 \) gives the estimated height above ground, y, in meters, of a plane, where x is the number of seconds since it started a parabolic maneuver. If this equation is graphed in the xy-plane, which of the following is the best interpretation of the vertex of the graph?
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抛物线图象与二次建模挑战
What is an x-intercept of the graph of \( y=x^2-25 \) in the xy-plane?
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抛物线图象与二次建模挑战
The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as \( y=36x^2-bx-120 \), where b is a constant. What is the value of b?
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抛物线图象与二次建模进阶
The elastic potential energy E, in newton‑meters, stored in a spring is the product of \( \frac{1}{2} \)the spring constant, in newtons per meter, and the square of the number of meters, x, the spring is stretched from its equilibrium position. If the spring constant for a certain spring is 74 newtons per meter, which equation gives the elastic potential energy, in newton‑meters, stored in this spring in terms of the number of meters the spring is stretched from its equilibrium position?
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抛物线图象与二次建模挑战
For the quadratic function \( f \), the table shows three values of x and their corresponding values of \( f(x) \). Which equation defines \( f \)?
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