Quadratics

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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. It passes through the vertex.

Front

If the vertex of a parabola is (h, k), what is the equation of the axis of symmetry?

Back

The equation of the axis of symmetry is x = h.

Front

What is the standard form of a quadratic equation?

Back

Front

Back

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

Front

How do you find the minimum or maximum value of a quadratic function?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What are the x-intercepts of a parabola?

Back

Front

What is the y-intercept of a quadratic function?

Back

Front

How can you determine if a quadratic function has a minimum or maximum value?

Back

You can determine this by looking at the 'a' value in the standard form: if 'a' > 0, it has a minimum; if 'a' < 0, it has a maximum.