Graphing parabolas

Front

What is the axis of symmetry for a parabola with vertex at (-3, 2)?

Back

x = -3

Front

How can you determine if a parabola opens up or down?

Back

The value of 'a' in the equation y = a(x - h)² + k determines the direction of the opening.

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

down

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

Find the vertex of the function f(x) = -x² - 4x + 12.

Back

(-2, 16)

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its direction.

Front

What is the general form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does a positive 'a' value indicate about the parabola?

Back

The parabola opens upwards.

Front

What does a negative 'a' value indicate about the parabola?

Back

The parabola opens downwards.

Front

How do you find the vertex of a parabola given in standard form?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute h back into the equation to find the y-coordinate.