二次函數 Quiz

Graph the quadratic function y = x^2 - 4x + 4.

• The correct answer is to graph the quadratic function y = x^2 - 4x + 4 by finding the vertex, plotting additional points, and connecting them to form a parabola opening upwards.

• Graph the linear function y = x - 4 instead

• Graph the exponential function y = 4^x - x instead

• Graph the cubic function y = x^3 - 4x + 4 instead

Identify the vertex of the parabola y = -2x^2 + 8x - 6.

• (2, 2)

• (4, 4)

• (3, 5)

• (0, -6)

Graph the quadratic function y = 3x^2 + 6x - 9.

• The correct answer is a detailed explanation of how to find the vertex and sketch the graph of the quadratic function y = 3x^2 - 6x - 9.

• The correct answer is a detailed explanation of how to find the vertex and sketch the graph of the linear function y = 3x + 6.

• The correct answer is a detailed explanation of how to find the vertex and sketch the graph of the cubic function y = 3x^3 + 6x^2 - 9.

• The correct answer is a detailed explanation of how to find the vertex and sketch the graph of the quadratic function y = 3x^2 + 6x - 9.

Identify the vertex of the parabola y = x^2 + 2x + 1.

• (-1, 1)

• (1, 2)

• (2, 3)

• (0, 1)

Graph the quadratic function y = -4x^2 + 12x - 9.

• The correct answer is a detailed explanation of how to find the x-intercepts of the quadratic function y = -4x^2 + 12x - 9.

• The correct answer is a detailed explanation of how to find the slope of the quadratic function y = -4x^2 + 12x - 9.

• The correct answer is a detailed explanation of how to find the area under the curve of the quadratic function y = -4x^2 + 12x - 9.

• The correct answer is a detailed explanation of how to find and plot the vertex of the quadratic function y = -4x^2 + 12x - 9.

Identify the vertex of the parabola y = 2x^2 - 4x + 3.

• (2, 1)

• (1, 1)

• (0, 3)

• (3, 2)

Graph the quadratic function y = -x^2 + 5x - 6.

• The vertex of the parabola is at (3, 2) and the y-intercept is at (0, -6).

• The vertex of the parabola is at (5/2, -1/4) and the y-intercept is at (0, -6).

• The vertex of the parabola is at (5/2, 1/4) and the y-intercept is at (0, -6).

• The vertex of the parabola is at (-5/2, 1/4) and the y-intercept is at (0, -6).

Identify the vertex of the parabola y = 4x^2 - 16x + 16.

• (2, 16)

• (3, 12)

• (0, 16)

• (4, 8)

Graph the quadratic function y = 2x^2 - 8x + 8.

• The explanation provides the steps to find the vertex of the quadratic function y = 2x^2 - 8x + 8 and how to use it to graph the function.

• The function is linear

• The vertex is at (0, 0)

• The function has no real roots

Identify the vertex of the parabola y = -3x^2 + 6x - 9.

• (1, -6)

• (2, -6)

• (0, -9)

• (3, -3)