Quadratic Formula

Front

Identify a, b and c for the following Quadratic: x^2 + 4 = 0

Back

a = 1, b = 0, c = 4

Front

Solve 2x^2 + 7x - 15 = 0

Back

x = -5 or x = 3/2

Front

What should you do first in solving this equation? x^2 + 6x - 13 = 3

Back

Subtract 3 from both sides.

Front

Solve the equation: 2x^2 - x - 3 = 0

Back

x = 3/2 and x = -1

Front

Identify a, b and c for the following Quadratic: -8x^2 + x + 7 = 0

Back

a = -8, b = 1, c = 7

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant (b² - 4ac) tell you?

Back

It indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

How do you find the vertex of a parabola given by y = ax^2 + bx + c?

Back

Vertex x-coordinate: x = -b/(2a); y-coordinate: substitute x back into the equation.

Front

What is the axis of symmetry for a quadratic function?

Back

x = -b/(2a) is the line of symmetry.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.