Questions

• Functions and Graphs Recognize the notation of functions and use tabular, algebraic, and graphical methods to represent functions

  考慮函數 f(x) = 2x^2 - 3x + 1。以下哪一點位於該函數的圖形上？

  2024

• Functions and Graphs Recognize the notation of functions and use tabular, algebraic, and graphical methods to represent functions

  考慮函數 f(x) = 2x^2 - 3x + 1。使用下表幫助您確定函數的正確圖形表示。| x | f(x) ||----|------|| -1 | 6 || 0 | 1 || 1 | 0 || 2 | 3 |下列哪個圖形正確代表函數 f(x) = 2x^2 - 3x + 1？

  2024

• Functions and Graphs Understand the features of the graphs of quadratic functions

  考慮二次函數 \( y = -2(x - 3)^2 + 4 \)。以下關於此二次函數圖形的敘述何者為真？

  2024

• Functions and Graphs Understand the features of the graphs of quadratic functions

  考慮二次函數 \( y = -2(x - 3)^2 + 5 \)。分析這個二次函數的特徵，並確定函數的最大值。

  2024

• Functions and Graphs Find the maximum and minimum values of quadratic functions by the algebraic method

  給定二次函數 \( f(x) = 2x^2 - 8x + 5 \)，通過配方法找出函數的最小值。

  2024

• Functions and Graphs Find the maximum and minimum values of quadratic functions by the algebraic method

  考慮二次函數 \( f(x) = 2x^2 + bx + c \)。通過配方法，求函數的最小值，並用未知係數 \( b \) 和 \( c \) 表示。

  2024

• Functions and Graphs Understand the features of the graphs of quadratic functions

  考慮以頂點形式給出的二次函數：\( y = -2(x - 3)^2 + 5 \)。下列關於此二次函數圖形的敘述，哪一個是真的？

  2024

• Functions and Graphs Understand the features of the graphs of quadratic functions

  考慮二次函數 \( f(x) = ax^2 + bx + c \)。已知該二次函數的頂點為 (3, -4)，且函數向上開口，若函數的 y 截距為 5，求係數 \( a \) 的值。

  2024

• Functions and Graphs Find the maximum and minimum values of quadratic functions by the algebraic method

  考慮二次函數 \( f(x) = ax^2 + bx + c \)。給定該函數的最大值為5，且發生在 \( x = 2 \)，如果 \( a = 1 \) 且 \( b = -4 \)，找出係數 \( c \) 的值。

  2024

• Functions and Graphs Find the maximum and minimum values of quadratic functions by the algebraic method

  給定二次函數 \( f(x) = 2x^2 - 8x + c \)，如果函數的最小值是 -10，求 \( c \) 的值。

  2024