Understanding the Axis of Symmetry in Parabolas

What is the role of the axis of symmetry in a parabola?

• It is the horizontal line at the base of the parabola.

• It determines the width of the parabola.

• It divides the parabola into two identical parts.

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

In the quadratic equation ax^2 + bx + c, what does the 'a' represent?

• The y-intercept of the parabola.

• The coefficient of the linear term.

• The coefficient of the quadratic term.

• The axis of symmetry.

How is the axis of symmetry formula x = -B/(2A) derived?

• By determining the roots of the equation.

• By calculating the vertex of the parabola.

• By using the coefficients of the quadratic equation.

• By finding the midpoint of the parabola.

In the formula x = -B/(2A), what does the negative sign before B indicate?

• It is used to find the y-intercept.

• It shows the direction of the parabola.

• It indicates the opposite sign of B.

• It means B is always negative.

For the quadratic equation 7x^2 - 4x + 12, what is the axis of symmetry?

• x = 2/7

• x = 4/7

• x = 3/7

• x = 1/7