Chapter 3 Final Review

Front

What is the effect of translating the graph of a function 1 unit up?

Back

To translate the graph of a function f(x) = 3x 1 unit up, you add 1 to the function: g(x) = f(x) + 1, resulting in g(x) = 3x + 1.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

Convert the equation 4x - 5y = 10 to slope-intercept form.

Back

To convert to slope-intercept form, solve for y: y = (4/5)x - 2.

Front

What is standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert an equation from point-slope form to standard form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to standard form, rearrange the equation to the form Ax + By = C.

Front

What is the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence can be expressed as a_n = a + (n-1)d, where a is the first term and d is the common difference.

Front

Find the common difference in the arithmetic sequence 8, 5, 2, -1, ...

Back

The common difference d is -3, calculated as 5 - 8 or 2 - 5.

Front

What is the formula for the nth term of the sequence 8, 5, 2, -1, ...?

Back

The formula for the nth term is a_n = -3n + 11.

Front

How do you write an equation in standard form?

Back

To write an equation in standard form, rearrange it to the form Ax + By = C, ensuring A, B, and C are integers.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.