Solving Quadratics - Choosing a Method

Front

What is the maximum number of zeros a quadratic function can have?

Back

A quadratic function can have a maximum of 2 zeros.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by the formula b² - 4ac.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between 'roots' and 'y-intercept'?

Back

Roots (or zeros) are the x-values where the function equals zero, while the y-intercept is the point where the function crosses the y-axis.

Front

Which method is most efficient for solving the equation 5x² - 3x - 7 = 0?

Back

The most efficient method is the Quadratic Formula.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

A positive discriminant indicates that there are 2 distinct real roots.

Front

What does a discriminant of zero indicate?

Back

A discriminant of zero indicates that there is exactly 1 real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that there are no real roots (the roots are complex).

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.