Envision Algebra

Given, f(x) = x + 5

Find, f(-2).

Given f(x) = 4x, describe how the graph of g compares with the graph of f.

g(x) = 4x – 5

• k = -5;

  Vertical Translation Down

• k = 5;

  Vertical Translation Up

• h = -5;

  Horizontal Translation Left

• h = 5;

  Horizontal Translation Right

Given f(x) = 4x, describe how the graph of g compares with the graph of f.

• k = -3;

  Vertical Translation Down

• k = 3;

  Vertical Translation Up

• h = -3;

  Horizontal Translation Left

• h = 3;

  Horizontal Translation Right

Given f(x) = 4x – 5, describe how the graph of g compares with the graph of f.

• k = -5;

  Vertical Translation Down

• h = 5;

  Horizontal Translation Right

• a = 2;

  Vertical Stretch

• a = 2;

  Vertical Compression

Tell whether the sequence is an arithmetic sequence. If it is, give the common difference.

−6, 5, 16, 27, 38,...

• Yes;

  d = -11

• Yes;

  d = 11

• No

A table of data of an arithmetic sequence is shown. Use the explicit formula for the arithmetic sequence to find the 15th term.

The scatter plot shows:

• positive association

• negative association

• no association

Given the ordered pairs, make a scatter plot of the data. If the data suggest a linear relationship, draw a trend line and write its equation.

(2, 5), (4, 8), (6, 12), (8, 14), (10, 18)

Given the ordered pairs, make a scatter plot of the data. If the data suggest a linear relationship, draw a trend line and write its equation.

Solve for the variable. 6(5n-4)+2n-8=64. n=