Vertex Form Quadratics

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 parameter 'a' in the vertex form indicate about the parabola?

Back

The parameter 'a' indicates the direction of the opening (up if a > 0, down if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex is given by the point (h, k) in the function f(x) = a(x-h)² + k.

Front

What transformation does the term (x-h) represent in the vertex form?

Back

The term (x-h) represents a horizontal shift to the right by 'h' units.

Front

What transformation does the term +k represent in the vertex form?

Back

The term +k represents a vertical shift upward by 'k' units.

Front

If a quadratic function opens downwards, what can you say about the value of 'a'?

Back

If a quadratic function opens downwards, then 'a' is less than 0 (a < 0).

Front

What is the effect of a negative 'a' value on the graph of a quadratic function?

Back

A negative 'a' value reflects the graph across the x-axis.

Front

How do you determine if a parabola is stretched or shrunk?

Back

If |a| > 1, the parabola is stretched; if |a| < 1, it is shrunk.

Front

What is the vertex of the function f(x)=4(x-2)² + 3?

Back

The vertex is (2, 3).

Front

What does it mean for a parabola to be in vertex form?

Back

A parabola is in vertex form when it is expressed as f(x) = a(x-h)² + k, highlighting its vertex and transformations.