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顶点・对称轴与最值挑战

When the quadratic function f is graphed in the xy-plane, where y= f(x), its vertex is (-3,6).One of the x-intercepts of this graph is (-分數 4 分之 17,0). what is the other x-intercept of the graph?
原库参考解析
Bluebook试题1 · 原库模块 3 · Q13作答 ↗
顶点・对称轴与最值进阶

f(x) = 4x2+ 64x + 262
The function g is defined by g(x) = f(x + 5).For what value of x does g(x) reach its minimum?
原库参考解析
Bluebook试题2 · 原库模块 1 · Q20作答 ↗
顶点・对称轴与最值挑战

The function \( f\left(x\right)\ =\ \frac{1}{9}\left(x-7\right)^2+3 \)  gives a metal ball's height above the ground f(x), in inches, x seconds after it started moving on a track, where 0 ≤ x ≤10. 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
Bluebook试题2 · 原库模块 3 · Q13作答 ↗
顶点・对称轴与最值挑战

f(x) = ax2 + 4x + c
In the given quadratic function, a and c are constants. The graph of y = f(x) 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(-9)= f(3), which of the following must be true?
I.c<0
II. a≥1
原库参考解析
Bluebook试题2 · 原库模块 3 · Q22作答 ↗
顶点・对称轴与最值进阶

y = x2 - 14x + 22
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
Bluebook试题3 · 原库模块 1 · Q15作答 ↗
顶点・对称轴与最值挑战

In the xy-plane, a parabola has vertex (9,-14) and intersects the x-axis at two points. If the equation of the parabola is written in the form y = ax2 + bx + c, where a, b, and c are constants, which of the following could be the value of a +b+ c?
原库参考解析
Bluebook试题4 · 原库模块 3 · Q22作答 ↗
顶点・对称轴与最值挑战

\( f\left(x\right)=x^2-48x+2,304 \) 
What is the minimum value of the given function?
原库参考解析
Bluebook试题6 · 原库模块 2 · Q13作答 ↗
顶点・对称轴与最值基础

题目图表
The graph of the quadratic function \( y=f\left(x\right) \) is shown. What is the vertex of the graph?
原库参考解析
Bluebook试题7 · 原库模块 2 · Q6作答 ↗
顶点・对称轴与最值挑战

\( f\left(x\right)=\left(x-44\right)\left(x-46\right) \) 
The function \( f \) is defined by the given equation. For what value of x does \( f\left(x\right) \) reach its minimum? 
原库参考解析
Bluebook试题7 · 原库模块 3 · Q11作答 ↗
顶点・对称轴与最值进阶

\( f\left(x\right)=4x^2+64x+262 \) 
The function g is defined by \( g\left(x\right)=f\left(x+5\right) \) . For what value of x does \( g\left(x\right) \)reach its minimum?
原库参考解析
Bluebook试题8 · 原库模块 1 · Q22作答 ↗
顶点・对称轴与最值挑战

f(x) = ax2 + 4x + c
In the given quadratic function, a and c are constants. The graph of y = f(x) 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 (-9)=f (3), which of the following must be true?

I. c < 0
II. a\( \ge \) 1

原库参考解析
Nonlinear functions · 原库模块 1 · Q10作答 ↗
顶点・对称轴与最值挑战

 f(x) = 4x2 + 64x + 262

The function g is defined by g(x) = f (x+5) . For what value of x does g(x) reach its minimum?
原库参考解析
Nonlinear functions · 原库模块 1 · Q11作答 ↗