3rd Six Weeks Review

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the point where the graph changes direction. It is the maximum or minimum point of the parabola.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images. It can be found using the formula x = -b/(2a) for the quadratic equation ax² + bx + c.

Front

What does it mean if a quadratic function has a minimum value?

Back

A quadratic function has a minimum value if the parabola opens upwards, indicating the vertex is the lowest point on the graph.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots of the quadratic equation. If it's positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

How do you factor the expression 3x² + 5x - 12?

Back

The expression factors to (3x - 4)(x + 3).

Front

What is the process for factoring polynomials?

Back

To factor polynomials, look for common factors, use grouping, or apply special factoring formulas like difference of squares or perfect square trinomials.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0.