Graphing Quadratics

Front

What is the equation of a parabola in vertex form?

Back

Front

What is the vertex of the parabola given by the equation y = 5x^2 - 20x + 13?

Back

The vertex of the parabola is (2, -7).

Front

Does the parabola y = 5x^2 - 20x + 13 have a maximum or minimum?

Back

The parabola has a minimum.

Front

What is the axis of symmetry for a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

Front

What is the standard form of a quadratic function?

Back

Front

How can you find the vertex of a parabola from its standard form?

Back

Front

What does the 'a' value in the quadratic equation affect?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

What is the significance of the 'k' value in vertex form?

Back

The 'k' value represents the vertical shift of the parabola; it moves the graph up or down.

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis, found by setting x = 0 in the equation.

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the 'a' value in the quadratic equation is positive, the parabola opens upwards; if negative, it opens downwards.