Ch. 3 Flashcard

Front

What are the green dots called?

Back

roots or x-intercepts

Front

Determine the values of a, b, and c for 4x² – 8x - 3 = 0

Back

a = 4, b = -8, c = -3

Front

True or false: The "solution", "zeroes", "x-intercepts", and "where a graph crosses the x-axis" of a problem are all the same thing.

Back

True

Front

Find the zeroes of x² + 2x - 15 = 0

Back

x = -5, x = 3

Front

Solve 2x² - 9x - 35 = 0

Back

x = -5/2, x = 7

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by the formula x = -b/(2a).

Front

What is a vertex in a parabola?

Back

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

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero, also known as the x-intercepts.

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.

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.