Quadratic Transformations Mixed

Front

What is the vertex form of a quadratic function?

Back

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

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and the vertical stretch or compression.

Front

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

Back

The 'h' value shifts the graph left or right by 'h' units.

Front

What effect does the 'k' value have on the graph of a quadratic function?

Back

The 'k' value shifts the graph up or down by 'k' units.

Front

Back

The function is shifted left 2 units and up 5 units.

Front

Back

The function is reflected over the x-axis, vertically stretched by a factor of 3, translated right 1 unit, and up 4 units.

Front

How do you represent a vertical compression in the vertex form?

Back

A vertical compression is represented by a value of 'a' between 0 and 1 in the vertex form f(x) = a(x - h)² + k.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

Back

The function has been shifted right 4 units and up 3 units.

Front

What does a negative 'a' value indicate in a quadratic function?

Back

A negative 'a' value indicates that the parabola opens downward.