Quadratics + Applications

Front

What is the discriminant in a quadratic equation?

Back

Front

What is the maximum height of an object launched upward at 64 ft/s from a height of 80 ft?

Back

The maximum height is 144 ft, calculated using the vertex formula for the quadratic equation.

Front

What is the quadratic formula?

Back

Front

Identify the 'b' value in the equation y = 16x^2 - 8x - 24.

Back

The 'b' value is -8.

Front

What are the solutions of a quadratic equation also called?

Back

The solutions are also called roots, x-intercepts, or zeros.

Front

What is a quadratic equation?

Back

Front

How do you find the vertex of a quadratic function?

Back

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has no real roots (the roots are complex).