Exam Review - Transformations and Sequences

Front

What is the parent function of a quadratic?

Back

Front

Find the common difference in the sequence: -34, -29, -24, -19, ...

Back

The common difference is d = 5.

Front

Given the arithmetic sequence a_n = 14 + 9(n-1), which equation is equivalent?

Back

The equivalent equation is a_n = 9n + 5.

Front

Which transformation changes f(x) = x^2 to g(x) = (x + 4)^2?

Back

The transformation is a shift 4 units to the left.

Front

Describe the transformation: Left 1 unit, Reflect over x-axis, Up 2 units.

Back

This transformation involves moving the graph left by 1 unit, reflecting it over the x-axis, and then moving it up by 2 units.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

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

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the effect of shifting a graph up by k units?

Back

Shifting a graph up by k units means that every point on the graph moves vertically upward by k units.