Quadratic Formula Practice

Front

What does the 'a' represent in the quadratic equation ax² + bx + c = 0?

Back

The 'a' represents the coefficient of the x² term, which determines the direction and width of the parabola.

Front

What does the 'b' represent in the quadratic equation ax² + bx + c = 0?

Back

The 'b' represents the coefficient of the x term, which affects the position of the vertex of the parabola.

Front

What does the 'c' represent in the quadratic equation ax² + bx + c = 0?

Back

The 'c' represents the constant term, which is the y-intercept of the quadratic function.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, found by setting y = 0.

Front

How do you find the zeros of a quadratic function?

Back

The zeros can be found by solving the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant indicates the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What is the vertex of a parabola?

Back

Front

How can you determine if a parabola opens upwards or downwards?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back