Explain the relationship between the terms of the quadratic formula and the graph of a quadratic function.

Question

I have one question left for my online homework but I don’t know how to answer it.

Answer 1

The quadratic formula is used to find the zeros or x-intercepts of a quadratic function. On the graph of the quadratic functions the x intercepts should match what the quadratic formula gives you.

Answer 2

Great job Denise !! it is fear to add : Giving y = ax^2 +bx +C, if the coefficient of x^2. , in this case (a )is negative the function or parabola opens down and if the coefficient is positive. or greater than zero the function or parabola opens up and for the (c) term, when x=0 that becomes the y-intercept of the function.

Answer 3

The Quadratic Formula is used to find the roots of a quadratic equation (ax^2 + bx + c = 0).

Thus, x = ( -b ± √(b² - 4ac) ) / 2a

can produce the two points where the parabola crosses the x-axis. Note that the discriminant (underneath the square root) helps to tell whether the parabola actually crosses the x-axix (and thus has real roots).

Using multiple items in the Quadratic Formula, you may find the vertex and determine the axis of symmetry. These can be labeled on the graph of a quadratic formula.