Ch 3 - Transformations and Quadratics (Acc Geo 2024)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

The rule for reflecting a point (x, y) over the x-axis is (x, -y).

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule for reflecting a point (x, y) over the y-axis is (-x, y).

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates will be (-y, x).

Front

What is the vertex form of a quadratic function?

Back

Front

What does the 'a' value in the vertex form of a quadratic function indicate?

Back

The 'a' value indicates 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 is the axis of symmetry for a quadratic function in standard form?

Back

Front

How do you find the range of a quadratic function?

Back

To find the range of a quadratic function, determine the vertex's y-coordinate and the direction of the parabola. If it opens upward, the range is from the vertex to infinity; if downward, from negative infinity to the vertex.

Front

What is the standard form of a quadratic function?

Back