Exam Review - Transformations and Sequences

Front

What is a transformation in mathematics?

Back

A transformation is a function that changes the position, size, or shape of a figure. Common types include translations, rotations, reflections, and dilations.

Front

Define a quadratic function.

Back

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

Explain the difference between a sequence and a series.

Back

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence.

Front

What is the standard form of a quadratic equation?

Back

Front

How do you identify the direction of a parabola's opening?

Back

The direction of a parabola's opening is determined by the coefficient 'a' in the quadratic equation: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

Define a cube root function.

Back

A cube root function is a function of the form @@f(x) = oot{3}{x}@@, which gives the cube root of x.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

Explain what a dilation is in transformations.

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.