Quadratic Equations FLASHCARD Vers 2

Front

Use the X-factor on this quadratic to factor it into the binomials: f(x) = x² - 4x + 4

Back

(x - 2)(x - 2)

Front

Use FOIL to put the two binomials into a trinomial quadratic: (x + 6)(x + 6)

Back

x² + 12x + 36

Front

Use the X-factor on this quadratic to factor it into the binomials: f(x) = x² + 5x - 24

Back

(x + 8)(x - 3)

Front

What is the name of the graph of a quadratic equation?

Back

parabola

Front

What is the y intercept for the equation: y = -8x² + 3x - 7?

Back

(0, -7)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' in the quadratic equation y = ax² + bx + c determine?

Back

The direction and width of the parabola. If a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.