HW 5.2 Quadratic Functions in Standard Form

Front

What is the axis of symmetry of a quadratic function?

Back

The line that divides a parabola in half.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c.

Front

Where is the axis of symmetry for the parabola with vertex (-1, 3)?

Back

x = -1.

Front

What does the vertex of a parabola represent?

Back

The minimum or maximum point of a quadratic function.

Front

A parabola has a vertex at (-3, 2). Where is the axis of symmetry?

Back

x = -3.

Front

What is the general shape of a quadratic function's graph?

Back

A parabola.

Front

What does the 'a' in the standard form of a quadratic function (y = ax² + bx + c) determine?

Back

The direction and width of the parabola.

Front

If 'a' is positive in the quadratic function, what is the direction of the parabola?

Back

Opens upwards.

Front

If 'a' is negative in the quadratic function, what is the direction of the parabola?

Back

Opens downwards.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a).