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
\( f\left(x\right)=ax^2+3x+c \)
In the given quadratic function, a and c are constants. The graph of \( y=f\left(x\right) \) in the xy-plane is a parabola that opens upward and has a vertex at the point (h, k), where h and k are constants. If k < 0 and \( f\left(-7\right)=f\left(1\right) \), which of the following must be true?
Ⅰ. c < 0
Ⅱ. a ≥ 1
原库参考解析
顶点・对称轴与最值进阶
\( y=x^2-22x+80 \)
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?
原库参考解析
顶点・对称轴与最值进阶
\( y=x^2-16x+44 \)
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?
原库参考解析
顶点・对称轴与最值挑战
Function \( f \) is a quadratic function where \( f\left(-21\right)=0 \) and \( f\left(-5\right)=0 \). The graph of \( y=f\left(x\right) \) in the xy-plane has a vertex at \( \left(r,\ -64\right) \). What is the value of r?
原库参考解析
顶点・对称轴与最值进阶
The function \( f\left(x\right)=\frac{1}{9}\left(x-4\right)^2+5 \) gives a toy car's height above the ground \( f\left(x\right) \), in inches, x seconds after it started moving on an elevated track, where \( 0\le x\le10 \). Which of the following is the best interpretation of the vertex of the graph of \( y=f\left(x\right) \) in the xy-plane?
原库参考解析
顶点・对称轴与最值进阶
\( g\left(x\right)=x^2+\frac{27}{2}x \)
Which expression represents the minimum value of the given function?
原库参考解析
顶点・对称轴与最值进阶
\( r\left(t\right)=53t-2t^2 \)
The function r is defined by the given equation. The function s is defined by \( s\left(t\right)=r\left(t\right)+1 \). Which expression represents the maximum value of \( s\left(t\right) \)?
原库参考解析
顶点・对称轴与最值进阶
\( f\left(x\right)=\left(2x-20\right)\left(2x+8\right) \)
What is the minimum value of the given function?
原库参考解析
顶点・对称轴与最值进阶
The function \( f\left(x\right)=\frac{1}{9}\left(x-6\right)^2+3 \) gives a toy car's height above the ground \( f\left(x\right) \), in inches, x seconds after it started moving on an elevated track, where \( 0\le x\le10 \). Which of the following is the best interpretation of the vertex of the graph of \( y=f\left(x\right) \) in the xy-plane?
原库参考解析
顶点・对称轴与最值挑战
The function\( f\left(x\right)=\frac{1}{8}\left(x-6\right)^2+4 \) gives a toy car's height above the ground f (x), in inches, x seconds after it started moving on an elevated track, where \( 0\le x\le10 \) . Which of the following is the best interpretation of the vertex of the graph of y = f (x) in the xy-plane?
原库参考解析
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 (-5, -8), contains the point (-6, -10), 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?
原库参考解析
顶点・对称轴与最值挑战
The function f is a quadratic function. In the xy-plane, the graph of y = f (x) has a vertex at (1, 6) and passes through the points (2, 34) and (-1, 118). What is the value of f (-2) - f (0)?
原库参考解析
