Graphing Quadratics

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.

Front

Where does the axis of symmetry pass through?

Back

The axis of symmetry passes through the vertex of the parabola.

Front

How do you find the vertex of a parabola given the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation to find y.

Front

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

Back

The vertex is (2, -7).

Front

What is the equation for the axis of symmetry for the parabola y = 5x^2 - 20x + 13?

Back

The equation for the axis of symmetry is x = 2.

Front

What is a maximum point on a parabola?

Back

A maximum point is the highest point on the parabola, occurring at the vertex if the parabola opens downwards.

Front

What is a minimum point on a parabola?

Back

A minimum point is the lowest point on the parabola, occurring at the vertex if the parabola opens upwards.

Front

What are the roots of a parabola?

Back

The roots (or x-intercepts) are the points where the parabola intersects the x-axis.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

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

Back

The 'a' value indicates the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.