Tranformations of Linear Functions I

Front

What is the parent function of linear functions?

Back

f(x) = x

Front

How does the equation f(x) = x - 2 transform the parent function?

Back

It shifts the graph down by 2 units.

Front

What is the slope of a line that is perpendicular to the line represented by y = (1/3)x - 9?

Back

-3 (the negative reciprocal of 1/3).

Front

What is the general form of the equation of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a function g(x) is defined as g(x) = f(x) + 3, how does this affect the graph of f(x)?

Back

The graph of g(x) is shifted up by 3 units compared to f(x).

Front

What does it mean for two lines to be perpendicular?

Back

Their slopes are negative reciprocals of each other.

Front

What is the effect of the transformation y = f(x + 7) on the graph of f(x)?

Back

The graph shifts left by 7 units.

Front

What type of function is represented by a straight line?

Back

Linear function.

Front

How do you determine the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by y = -3x - 8?

Back

-8 (the value of y when x = 0).