Transformations of Linear Functions

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

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

Back

The graph of g is a horizontal translation of the graph of f, 4 units left.

Front

Which transformation will occur if f(x) = x is replaced with 2f(x)?

Back

Vertical stretch by a factor of 2

Front

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

How did the equation shift from the parent function?

y = f(x) + c

Back

Shifted up "c" units

Front

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

Back

Reflection across the x-axis.

Front

How did the equation shift from the parent function? y = f(x - 4)

Back

Shift right by 4

Front

How did the equation f(x) = x change if g(x) = 1/2f(x) + 11?

Back

Vertical shrink and shift up 11

Front

Graph of f(x) = x shifted 7 units up and horizontally compressed by a factor of 3. What is the function?

Back

g(x) = f(3x) + 7

Front

How did the equation shift from the parent function? y = -3f(x) + 5

Back

Reflection over x-axis, steeper, up 5