Linear Transformations

Front

Describe the transformation of f(x) = x to g(x) = f(x) - 6.

Back

g(x) is shifted down 6 units

Front

Describe the transformation from the graph of f to the graph of g.

Back

The graph of g is a vertical translation 2 units up of the graph of f.

Front

Which transformation will occur if f(x) = x is replaced with 2f(x)? Options: Vertical stretch by a factor of 2, Vertical compression by a factor of 1/2, Vertical translation up by 2 units, Horizontal compression by a factor of 1/2

Back

Vertical stretch by a factor of 2

Front

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

Back

The graph of f is steeper than the graph of g.

Front

What is the linear parent function?

Back

y = x

Front

Graph of f(x) = x shifted 7 units down. New equation?

Back

f(x) = x - 7

Front

Describe the transformation from the parent function: y = 3x + 5

Back

Steeper; Shift up 5 units

Front

Which of the following g(x) equations is vertically stretched and shifted down from f(x) = x? Options: g(x) = 2 f(x) + 6, g(x) = 1/2 f(x) + 6, g(x) = 2 f(x) - 6, g(x) = 1/2 f(x) - 6

Back

g(x) = 2 f(x) - 6

Front

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

Back

g(x) is shifted up 3 units

Front

Transformation on f(x) = x to get g(x) = -f(x)

Back

Reflection across the x-axis.