Final answer:
B.x= -b/2a.The equation representing the axis of symmetry of a quadratic function is x=-b/2a. To calculate the axis of symmetry, use the formula x=-b/2a, where a and b are the coefficients in the quadratic function.
Step-by-step explanation:
The correct answer is option B. The equation representing the axis of symmetry of a quadratic function of the form y=ax²+bx+c is x=-b/2a. To calculate the axis of symmetry, you need to use the formula x=-b/2a, where a and b are the coefficients in the quadratic function.
This formula gives you the x-coordinate of the vertex of the parabola formed by the quadratic function. The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two symmetrical halves.
The axis of symmetry for a quadratic function of the form y=ax²+bx+c is a vertical line that passes through the vertex of the parabola represented by the graph of the quadratic function. This axis divides the parabola into two mirror-image halves.
The equation for the axis of symmetry can be derived from the vertex form of a quadratic function or by using the fact that the vertex's x-coordinate is the average of the roots of the equation. Thus, the axis of symmetry is found using the formula x= -b/2a, where a and b are the coefficients from the quadratic equation ax²+bx+c.
Remember, for any quadratic equation, the value of a must not be zero as it would make the equation linear rather than quadratic