Quadratic Formula flashcard

Front

Identify a, b, and c in: x²− 6x + 14

Back

a = 1, b = -6, c = 14

Front

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

Back

x = -1 and x = -3

Front

Identify the 'a' value: y = 16x² - 8x - 24

Back

a = 16

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

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

Front

In the equation y = x² + 5x + 7, match each leading coefficient with its correct letter

Back

a = 1, b = 5, c = 7

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What does the discriminant (b² - 4ac) tell us about the roots of a quadratic equation?

Back

If > 0: two real roots; = 0: one real root; < 0: no real roots.

Front

How do you convert a standard form quadratic equation to vertex form?

Back

Use completing the square method.

Front

What is the vertex of a parabola given by the equation y = ax² + bx + c?

Back

Vertex = (-b/(2a), f(-b/(2a)))

Front

What is the axis of symmetry for a quadratic function?

Back

x = -b/(2a)