Completing the Square Quizziz

What is the vertex form of the quadratic equation y = x^2 + 6x + 9?

• y = (x + 3)^2

• y = x^2 + 3x + 9

• y = (x + 3)^2 + 9

• y = (x + 3)(x + 3)

What is the vertex of the parabola defined by the equation y = x^2 - 4x + 3?

• (1, -2)

• (0, 3)

• (2, -1)

• (4, 1)

Which of the following is a key step in completing the square?

• Multiplying the x-term by the square of half the coefficient

• Adding and subtracting the square of half the coefficient of the x-term

• Adding and subtracting the square of the coefficient of the x-term

• Dividing the x-term by the square of half the coefficient

What is the vertex form of the quadratic equation y = 2x^2 - 8x + 5?

• y = 2(x+2)^2 - 3

• y = 2(x+2)^2 + 3

• y = 2(x-2)^2 + 3

• y = 2(x-2)^2 - 3

Which of the following is true about the vertex of a parabola in vertex form?

• The vertex of a parabola in vertex form is given by the equation y = mx + b, where m represents the slope and b represents the y-intercept.

• The vertex of a parabola in vertex form is given by the coordinates (h, k), where h represents the x-coordinate and k represents the y-coordinate.

• The vertex of a parabola in vertex form is always located at the origin (0, 0).

• The vertex of a parabola in vertex form is given by the coordinates (x, y), where x represents the y-coordinate and y represents the x-coordinate.

What is the vertex of the parabola defined by the equation y = -x^2 + 6x - 9?

• (0, -9)

• (3, -36)

• (-3, -36)

• (6, -9)

Which of the following is a key step in completing the square?

• Dividing the x-term by the square of half the coefficient

• Multiplying the x-term by the square of half the coefficient

• Adding and subtracting the square of half the coefficient of the x-term

• Adding and subtracting the square of the coefficient of the x-term

What is the vertex form of the quadratic equation y = x^2 + 4x + 7?

• y = (x+2)^2 + 3

• y = (x+3)^2 + 2

• y = (x+1)^2 + 5

• y = (x+4)^2 - 1

Which of the following is true about the vertex of a parabola in vertex form?

• The vertex of a parabola in vertex form is given by the coordinates (x, y), where x represents the y-coordinate and y represents the x-coordinate.

• The vertex of a parabola in vertex form is given by the equation y = mx + b, where m represents the slope and b represents the y-intercept.

• The vertex of a parabola in vertex form is given by the coordinates (h, k), where h represents the x-coordinate and k represents the y-coordinate.

• The vertex of a parabola in vertex form is always located at the origin (0, 0).

What is the vertex of the parabola defined by the equation y = 3x^2 - 12x + 9?

• (4, -3)

• (2, -3)

• (0, 9)

• (2, 3)