Quadratic Formula

Front

What are the solutions of a quadratic equation also called?

Back

Roots, x-intercepts, zeros - All of the above.

Front

Back

m = 7 and -2.

Front

What is the first step in solving quadratic equations?

Back

Write the equation in standard form.

Front

Why are quadratic equations set equal to zero?

Back

To find the x-intercepts, which occurs when y=0.

Front

If there are no real solutions, what can be said about the discriminant?

Back

The discriminant is a negative number.

Front

What is the quadratic formula?

Back

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

It indicates the nature of the roots: two real roots (positive), one real root (zero), or no real roots (negative).

Front

What is the standard form of a quadratic equation?

Back

Front

What does it mean if the discriminant is zero?

Back

The quadratic equation has exactly one real solution (a repeated root).

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the graph of a quadratic function.