二次函数测验

确定二次函数y = 2x^2 - 4x + 3的顶点坐标。

• (3, 2)

• (2, 1)

• (0, 3)

• (1, 1)

计算二次函数y = -x^2 + 6x - 5的轴对称线。

• x = 2

• x = 4

• x = 3

• x = 5

绘制二次函数y = x^2 - 3x + 2的图像。

• The vertex of the parabola is at (2, -3).

• The graph of the quadratic function y = x^2 - 3x + 2 is a parabola opening upwards with the vertex at (3/2, 1/4).

• The graph of the quadratic function y = x^2 - 3x + 2 is a straight line.

• The function y = x^2 - 3x + 2 has no real roots.

解二次函数方程x^2 + 4x - 5 = 0。

• x = 1, -5

• x = 2, -3

• x = 3, -4

• x = -1, -6

分析二次函数y = -3x^2 + 12x - 7的最大值和最小值。

• The maximum value is 10.

• The maximum value is 17.

• The minimum value is -5.

• The maximum value is 5.

确定二次函数y = x^2 + 2x - 8的顶点坐标。

• (0, -8)

• (-2, -6)

• (3, -5)

• (-1, -9)

计算二次函数y = -2x^2 + 8x - 6的轴对称线。

• x = 4

• x = 2

• x = 6

• x = -2

绘制二次函数y = 0.5x^2 - x + 3的图像。

• The answer involves plotting the graph of the quadratic function y = 0.5x^2 - x + 3 by finding the vertex, axis of symmetry, and y-intercept, and then sketching the parabola accordingly.

• Use trigonometric functions to graph the quadratic function

• Calculate the derivative of the function

• Plot the graph of a linear function instead

解二次函数方程2x^2 - 5x + 2 = 0。

• x = -1/2, 2

• x = 1/2, 2

• x = 1, 2

• x = 1/2, -2

分析二次函数y = x^2 - 4x + 5的最大值和最小值。

• 最大值为5，最小值为4

• 最大值为2，最小值为3

• 最大值为1，最小值为1

• 最大值为3，最小值为2