Math I Honors Unit 4 Review

Front

What transformations have happened to f(x) = 2^x if the new equation is g(x) = -2^(x+3) - 6?

Back

Reflects, left 3, down 6.

Front

Write a formula for the sequence: 5, 8, 11, 14, 17...

Back

a_n = 3n + 2.

Front

What are the first 5 terms of the sequence described by f(n) = -3n + 7?

Back

4, 1, -2, -5, -8.

Front

What kind of sequence is the pattern 400, 200, 100, 50, 25...?

Back

Geometric.

Front

Describe the transformation of y = f(x) for the new function y = f(x) + 5.

Back

The graph of y = f(x) was shifted up 5 units.

Front

What is an arithmetic sequence?

Back

A sequence in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number.

Front

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

Back

Use the formula a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

How do you find the nth term of a geometric sequence?

Back

Use the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

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

Back

The y-values of the function are multiplied by -1.