Quadratic Characteristics: Review

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax² + bx + c.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

If a parabola has a vertex at (-3, 2), what is the axis of symmetry?

Back

x = -3.

Front

What is the end behavior of a quadratic function as x approaches negative infinity?

Back

As x → -∞, y → ∞ or y → -∞ depending on the leading coefficient.

Front

Over which interval is a quadratic function increasing if it has a vertex at (2, k)?

Back

The function is increasing over the interval (2, ∞).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What does the vertex of a parabola represent?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient determines the direction of the parabola (upward if positive, downward if negative).

Front

What is the formula for the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).