Solving Quadratic Equations by Factoring and Square Root Method

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, represented as (x, 0).

Front

Solve by factoring: n² - 2n = 0

Back

n = 2 and n = 0

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What is another word for zeros of a quadratic function?

Back

Roots

Front

Solve by factoring: x² + 2x - 20 = 4

Back

x = -6 and x = 4

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the vertex of a parabola represent?

Back

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

Front

How do you find the axis of symmetry of a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form ax² + bx + c.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What does it mean for a quadratic equation to be factored?

Back

Factoring a quadratic equation means expressing it as a product of its linear factors.