Transformations of Quadratics

Front

What is the parent function of a quadratic equation?

Back

Front

How does translating a function to the left affect its equation?

Back

To translate a function to the left by 'h' units, replace 'x' with 'x + h' in the function's equation.

Front

What is the vertex form of a quadratic function?

Back

Front

How do you find the y-intercept of a quadratic function?

Back

Front

Back

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

Front

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

Back

A negative 'a' value reflects the parabola over the x-axis.

Front

How do you determine the range of a quadratic function?

Back

Front

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

Back

The vertex is the highest or lowest point of the parabola, depending on its direction.

Front

How do you reflect a quadratic function over the x-axis?

Back

To reflect a quadratic function over the x-axis, multiply the entire function by -1.

Front

What does translating a function down by 'k' units involve?

Back

To translate a function down by 'k' units, subtract 'k' from the function's equation.