Vertex Form Quadratics

Front

What causes the graph of y = x² to open downward?

Back

Multiplying the x² by a negative number.

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 is the vertex form of a quadratic function?

Back

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

Front

What does the 'a' in the vertex form of a quadratic function represent?

Back

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

Front

How does a positive 'a' value affect the graph of a quadratic function?

Back

It causes the graph to open upward.

Front

How does a negative 'a' value affect the graph of a quadratic function?

Back

It causes the graph to open downward.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What transformations are applied to a graph when the vertex form is altered?

Back

Transformations include translations, reflections, and stretches/shrinks.

Front

What is the effect of changing the 'h' value in the vertex form?

Back

Changing 'h' shifts the graph left or right.

Front

What is the effect of changing the 'k' value in the vertex form?

Back

Changing 'k' shifts the graph up or down.