Transformations of Quadratic Functions

Front

What is a quadratic function?

Back

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.

Front

What is the vertex of a parabola?

Back

Front

What does it mean to shift a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the x-variable in the function, resulting in a horizontal translation.

Front

What does it mean to shift a graph up?

Back

Shifting a graph up means adding a positive value to the entire function, resulting in a vertical translation.

Front

Back

Front

What is the effect of a negative coefficient in front of a quadratic function?

Back

A negative coefficient reflects the parabola across the x-axis, causing it to open downwards.

Front

What is the standard form of a quadratic function?

Back

Front

What does the term 'axis of symmetry' refer to in a parabola?

Back

Front

How do you determine the direction a parabola opens?

Back

The direction a parabola opens is determined by the sign of the coefficient 'a': if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.