Vertex Form Quadratics

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = h, where (h, k) is the vertex of the parabola.

Front

What transformations are applied to a graph when it is reflected over the x-axis?

Back

The y-coordinates of all points on the graph are multiplied by -1.

Front

What does it mean for a graph to be stretched vertically?

Back

The graph is pulled away from the x-axis, making it narrower.

Front

What does it mean for a graph to be shrunk vertically?

Back

The graph is pushed towards the x-axis, making it wider.

Front

How can you determine if a parabola opens up or down from its vertex form?

Back

If 'a' (in f(x) = a(x-h)² + k) is positive, it opens up; if 'a' is negative, it opens down.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k, where (h, k) is the vertex.

Front

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

Back

The vertex is at the point (h, k) in the equation f(x) = a(x-h)² + k.

Front

What is the significance of the 'a' value in the vertex form of a quadratic function?

Back

The 'a' value determines the direction of the parabola and its width.

Front

What is the effect of a negative 'a' value in the vertex form?

Back

It reflects the parabola over the x-axis.

Front

How do you convert standard form to vertex form?

Back

Use completing the square method.