Unit 4 flashcard 9

Front

What is a parabola?

Back

A parabola is a U-shaped curve that represents the graph of a quadratic function. It can open upwards or downwards depending on the sign of the leading coefficient.

Front

How do you determine the number of zeros of a parabola?

Back

The number of zeros (or x-intercepts) of a parabola can be determined by solving the quadratic equation. The number of real solutions corresponds to the number of zeros: 0 (no real solutions), 1 (one real solution), or 2 (two real solutions).

Front

What is the factored form of a quadratic equation?

Back

Front

Back

Front

Back

Front

Back

Front

What is the process for factoring a quadratic expression?

Back

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

Front

Back

Front

What is the quadratic formula?

Back

Front

What does it mean for a quadratic to have no real zeros?

Back

A quadratic has no real zeros if its discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.