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抛物线图象与二次建模进阶
The y-intercept of the graph of \( y=x^2+18 \)in the xy-plane is (0, y). What is the value of y?
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抛物线图象与二次建模进阶
An object is kicked from a platform. The equation \( h=-4.9t^2+5t+9 \) represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
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抛物线图象与二次建模进阶
The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?
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抛物线图象与二次建模进阶
\( h\left(t\right)=-16t^2+b \)
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 2.56 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
\( k\left(x\right)=-\frac{1}{2}x^2+8x+20 \)
The function k gives the estimated number of students in a school organization x years after the organization was established, where \( 0\le x\le10 \). Which statement is the best interpretation of k(4) = 44?
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抛物线图象与二次建模进阶
The y-intercept of the graph of \( y=x^2+15 \) in the xy-plane is \( \left(0,\ y\right) \). What is the value of y ?
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抛物线图象与二次建模进阶
\( y=0.25x^2-7.5x+77.25 \)
The equation gives the estimated stock price y, in dollars, for a certain company x days after the company went public, where\( 0\le x\le20 \). Which statement is the best interpretation of \( \left(x,\ y\right)=\left(1,\ 70\right) \) in this context?
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抛物线图象与二次建模进阶
The graph of a system of a linear and a quadratic equation is shown. What system is represented by the graph?
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抛物线图象与二次建模进阶
Two numbers have a product y, such that one number is x and the other number is 99 less than x. Which of the following equations represents the relationship between y and x?
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抛物线图象与二次建模进阶
\( f\left(x\right)=-9x^2+113x \)
The function \( f \) models the depth below sea level, in meters, of a certain seal x minutes after the seal dives into the water. What is the best interpretation of \( f\left(2\right)=190 \) in this context?
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抛物线图象与二次建模挑战
A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. According to the model the object was launched from a height of 0 feet and reached its maximum height of 1,600 feet 10 seconds after it was launched. Based on the model, what was the height, in feet, of the object 7 seconds after it was launched?
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抛物线图象与二次建模挑战
The graph of a system of a linear equation and a quadratic equation is shown. Which of the following is a solution (x, y) to the system?
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