Flashcard Review: Transformations and Direct Variation

Front

What is the transformation of the function g(x) = f(x - 3) if f(x) = x?

Back

g(x) is shifted right 3 units.

Front

What is the transformation of the function g(x) = f(x) + 4 if f(x) = x?

Back

g(x) is shifted up 4 units.

Front

If y varies directly with x and when y is 16, x is 32, what is the equation that represents this relationship?

Back

y = (1/2)x.

Front

What do we call two lines that never intersect and have the same slope?

Back

Parallel lines.

Front

What is the transformation of the function g(x) = f(x + 3) if f(x) = x?

Back

g(x) is shifted left 3 units.

Front

What is the definition of direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

If the slope of line a is 2 and the slope of line b is 2, what can we say about lines a and b?

Back

Lines a and b are parallel.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

If g(x) = f(x - 4), what is the transformation of the function f(x) = x?

Back

g(x) is shifted right 4 units.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.