5272道题目5525 条题源记录 · 相同内容已合并
顶点・对称轴与最值挑战
Function f is a quadratic function. The graph of y=f (x) in the xy-plane has a vertex at (9, -7), contains the point (8, -9), and has a y-intercept at (0, a). The graph of y=6· f(x) has a y-intercept at (0, b). What is the positive difference between a and b?
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顶点・对称轴与最值挑战
The quadratic function f has a factor of ( x +7.75) and a zero x = c, where c is a positive constant. The graph of y = f(x) in the xy-plane has its vertex at(-3.75,-d), where d is a positive constant. What is the value of c?
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顶点・对称轴与最值进阶
The function \( f \) is a quadratic function. In the \( xy \)-plane, the graph of \( y=f\left(x\right) \)has a vertex at (1, 4) and passes through the points (2, 37) and (−1, 136). What is the value of \( f\left(-2\right) \)\( -f\left(0\right) \)?
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顶点・对称轴与最值挑战
The graph of the quadratic function y=f(x) in the xy-plane intersects the x-axis when x=39 and when x=p, where p is a constant. The maximum value of y=f(x) occurs at the point (14, m), where m is a constant. What is the value of p?
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顶点・对称轴与最值挑战
The function g is a quadratic function. In the xy-plane, the graph of y=g(x) has a vertex at (-1, -4) and passes through the points (-2, -43) and (1, -160). What is the value of g(0)-g(2)?
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顶点・对称轴与最值进阶
\( f\left(x\right)=\left(x-65\right)\left(x-67\right) \)
The function f is defined by the given equation. For what value of x does f (x) reach its minimum?
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顶点・对称轴与最值进阶
The town of Fillmore is planning its annual fireworks show. The equation \( y=-16\left(x-6.8\right)^2+740 \) gives the estimated height y, in feet, of a type of firework x seconds after it is launched into the air. Which of the following is the best interpretation of the vertex of the graph of the equation in the xy-plane?
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顶点・对称轴与最值进阶
The equation \( y=-4.9\left(x-8.8\right)^2+11,900 \) 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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顶点・对称轴与最值挑战
\( p\left(x\right)=2x^2+12x+19 \)
What is the minimum value of the given function?
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顶点・对称轴与最值进阶
\( y=x^2-18x+51 \)
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?
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顶点・对称轴与最值进阶
\( g\left(x\right)=5\left(x^2-14x+49\right)+k \)
The function g is defined by the given equation, where k is a constant. For what value of x does \( g\left(x\right) \) reach its minimum?
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顶点・对称轴与最值挑战
\( f(x)=18x^{2}−45x+16 \)
The given equation defines the function \( f \) f . For what value of x does f (x) reach its minimum?
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