U3L7: Vertex Form Transformations

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by the equation y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

How does the value of 'a' in the vertex form affect the graph of the quadratic function?

Back

The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

What does a positive 'k' value indicate in the vertex form?

Back

A positive 'k' value indicates a vertical shift upward of the graph by 'k' units.

Front

What does a negative 'k' value indicate in the vertex form?

Back

A negative 'k' value indicates a vertical shift downward of the graph by 'k' units.

Front

What does a positive 'h' value indicate in the vertex form?

Back

A positive 'h' value indicates a horizontal shift to the right of the graph by 'h' units.

Front

What does a negative 'h' value indicate in the vertex form?

Back

A negative 'h' value indicates a horizontal shift to the left of the graph by 'h' units.

Front

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

Back

The vertex of a quadratic function in vertex form y = a(x-h)² + k is the point (h, k).

Front

What transformation does the expression (x - 7)² - 2 represent?

Back

The expression (x - 7)² - 2 represents a transformation of the graph that shifts it right 7 units and down 2 units.

Front

What transformation does the expression (x + 9)² represent?

Back

The expression (x + 9)² represents a transformation of the graph that shifts it left 9 units.

Front

What transformation does the expression x² - 3 represent?

Back

The expression x² - 3 represents a transformation of the graph that shifts it down 3 units.