Quadratic Formula Extra Credit

Front

What does a positive discriminant indicate in a quadratic equation?

Back

Two real solutions.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

In the equation y = ax² + bx + c, what do a, b, and c represent?

Back

a = coefficient of x², b = coefficient of x, c = constant term.

Front

How do you determine the number of real solutions from the discriminant?

Back

If the discriminant (b² - 4ac) is positive, there are two real solutions; if zero, one real solution; if negative, two imaginary solutions.

Front

Solve using the quadratic formula: 9x² = 4 + 7x

Back

x = (7 ± √(49 - 36)) / 18 = (7 ± √13) / 18.

Front

Identify a, b, and c in the equation y = x² + 5x + 7.

Back

a = 1, b = 5, c = 7.

Front

Use the quadratic formula to solve: 2x² + 2x - 12 = 0

Back

x = 2, -3.

Front

Solve using the Quadratic Formula: x² + 4x + 3 = 0

Back

x = -1 and x = -3.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What does the axis of symmetry represent in a quadratic function?

Back

The vertical line that divides the parabola into two mirror-image halves.