Algebra 2 Chapter 2 Flashcard Review Big Ideas Math

Front

What is the vertex of the quadratic function y = x^2 - 12x + 46?

Back

V(6, 10)

Front

In a quadratic function, what does the c value represent?

Back

y-intercept

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

What is the vertex of the quadratic function y = x^2 - 2x - 5?

Back

V(1, -6)

Front

What is the standard form of a quadratic function?

Back

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

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (opens upwards if a > 0, downwards if a < 0).

Front

How can you determine if a quadratic function has a maximum or minimum value?

Back

If 'a' is positive, it has a minimum value; if 'a' is negative, it has a maximum value.

Front

What is the formula to find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula V(h, k) where h = -b/(2a) and k = f(h).

Front

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

Back

The discriminant (b^2 - 4ac) determines the number and type of roots of the quadratic equation.