Quadratic Characteristics Review

Front

In the equation y = ax² + bx + c, if a > 0, what can be said about the graph of the parabola?

Back

The graph of the parabola will open up.

Front

What does the vertex of a parabola represent in terms of maximum or minimum values?

Back

The y value of the vertex is equivalent to the minimum/maximum value of the parabola.

Front

How many zeros can a parabola have?

Back

A parabola can have 0, 1, or 2 zeros.

Front

What effect does changing the c value in the quadratic equation y = ax² + bx + c have on the graph?

Back

It transforms the graph up and down.

Front

Determine the vertex for the quadratic equation y = x² - 9x + 20.

Back

(4.5, -0.25)

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 coefficient 'a' indicate about the direction of the parabola?

Back

If a > 0, the parabola opens up; if a < 0, it opens down.

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, represented by the value of c.

Front

How can you find the axis of symmetry for a parabola given by y = ax² + bx + c?

Back

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

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.