IM2 Transforming Quadratic Functions

Front

What is a parabola?

Back

A parabola is a U-shaped curve that can open upwards or downwards, defined by a quadratic function.

Front

What is the vertex of a parabola?

Back

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

Front

What does it mean to reflect a parabola over the x-axis?

Back

Reflecting a parabola over the x-axis means flipping it upside down.

Front

What is a vertical translation in the context of quadratic functions?

Back

A vertical translation moves the graph up or down without changing its shape.

Front

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

Back

A negative coefficient causes the parabola to open downward.

Front

How does changing the coefficient of x² affect the width of a parabola?

Back

A larger absolute value of the coefficient makes the parabola narrower, while a smaller absolute value makes it wider.

Front

What is the parent function of a quadratic equation?

Back

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

Front

What does it mean to translate a parabola 2 units down?

Back

Translating a parabola 2 units down means moving every point on the graph down by 2 units.

Front

What is the effect of a vertical stretch on a parabola?

Back

A vertical stretch makes the parabola narrower.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.