Axis of Symmetry, Vertex...

How do you find the vertex of the function f(x) = -x² - 4x + 12?

• (-2, 16)

• (2, -16)

• (-4, 12)

• (0, 12)

What is the effect of changing the value of 'k' in the vertex form of a quadratic function?

• It shifts the parabola horizontally.

• It shifts the parabola vertically.

• It changes the width of the parabola.

• It reflects the parabola over the x-axis.

What is the equation for the axis of symmetry?

• x = -b/(2a)

• x = b/(2a)

• x = -2b/a

• x = 2a/b

What is the vertex form of a quadratic function?

• f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

• f(x) = ax² + bx + c, where a, b, and c are constants.

• f(x) = a(x + h)² + k, where (h, k) is the vertex of the parabola.

• f(x) = a(x - h)² - k, where (h, k) is the vertex of the parabola.

How do you find the x-intercepts of a parabola?

• Set y = 0 in the quadratic equation and solve for x.

• Find the vertex of the parabola.

• Calculate the discriminant of the quadratic equation.

• Use the quadratic formula to find the y-intercepts.

What determines if a parabola opens up or down?

• The coefficient 'b' in the quadratic equation

• The coefficient 'c' in the quadratic equation

• The coefficient 'a' in the quadratic equation

• The vertex of the parabola

What is the axis of symmetry for the parabola represented by the equation y = 3x² - 6x + 4?

• x = 1

• x = -1

• x = 2

• x = 0

What is the standard form of a quadratic equation?

• y = ax² + bx + c

• y = ax + b

• y = a + bx + c

• y = ax² + c

What is the significance of the vertex in a parabola?

• It is the point where the parabola intersects the x-axis.

• It is the highest or lowest point of the parabola, depending on its direction.

• It represents the axis of symmetry of the parabola.

• It is the point where the parabola changes direction.

What is the relationship between the axis of symmetry and the vertex?

• The axis of symmetry is a vertical line that passes through the vertex of the parabola, dividing it into two mirror-image halves.

• The axis of symmetry is a horizontal line that intersects the vertex at a right angle.

• The axis of symmetry is a diagonal line that connects the vertex to the x-axis.

• The axis of symmetry is a line that does not relate to the vertex at all.