Ch. 3 Flashcard

Front

What are the values of a, b, and c in the equation 4x² - 8x - 3 = 0?

Back

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

Front

What are the green dots called in a parabola?

Back

Roots or x-intercepts

Front

Simplify the expression (11 - 3i)(2 + i) and write in standard form.

Back

25 + 5i

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

What is the formula for the discriminant in a quadratic equation?

Back

b² - 4ac

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you find the axis of symmetry for a parabola given by the equation y = ax² + bx + c?

Back

x = -b/(2a)

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots (real and distinct, real and equal, or complex).

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.