The true statement are x = -b/2a is the equation of the line of symmetry of the parabola, -b/2a is one of the zeros of the quadratic function, -b/2a is the x-coordinate of the vertex for the parabola.
The quadratic formula is x = -b/2a ± √(b2 - 4ac)/2a. Let's analyze each statement:
A. x = -b/2a is the equation of the line of symmetry of the parabola. True. The line of symmetry of a parabola is given by the equation x = -b/2a.
B. √(b2 - 4ac)/2a is one of the zeros of the quadratic function. False. The quadratic formula provides the values of x, which are the zeros of the quadratic function.
C. -b/2a is one of the zeros of the quadratic function. True. The term -b/2a in the quadratic formula represents one of the zeros of the quadratic function.
D. -b/2a is the y-coordinate of the vertex of the parabola. False. The quadratic formula only gives the x-coordinate of the vertex, which is -b/2a.
E. |√(b2 - 4ac)/2a| is the horizontal distance between the line of symmetry and one of the zeros of the parabola. False.
The absolute value represents the horizontal distance between the zeros of the parabola and the vertex, not the line of symmetry.
F. √(b2 - 4ac)/2a is the maximum or minimum of the quadratic function. False. The quadratic formula gives the zeros of the quadratic function, not the maximum or minimum points.
G. -b/2a is the x-coordinate of the vertex for the parabola. True. The term -b/2a represents the x-coordinate of the vertex of the parabola.
The probable question may be:
Which statements are true regarding the quadratic formula x=-\frac{b}{2a}\pm \frac{\sqrt{b^2-4ac} }{2a} ?
A. x=-\frac{b}{2a} is the equation of the line of symmetry of the parabola.
B. \frac{\sqrt{b^2-4ac} }{2a} is one of the zeros of the quadratic function.
C. -\frac{b}{2a} is one of the zeros of the quadratic function.
D. -\frac{b}{2a} is the y-coordinate of the vertex of the parabola.
E.|\frac{\sqrt{b^2-4ac} }{2a}|is the horizontal distance between the line of symmetry and one of the zeros of the parabola.
F. \frac{\sqrt{b^2-4ac} }{2a} is the maximum or minimum of the quadratic function.
G. -\frac{b}{2a} is the x-coordinate of the vertex for the parabola.