Transformations on a Graph

f(x) = -(x+1)²

f(x) = -(2x)²

f(x) = (-1/2 x)²

f(x) = -(1/2 x)²

Graph g is a reflection.

Graph g translated down 2 units.

Graph g is steeper.

Graph g is less steep.

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

Graph g rotated

Graph g translated down 4 units

Graph g translated up 4 units

Graph g reflected

Shifts the graph left four units

Shifts the graph right four units

Shifts the graph up four units

Shifts the graph down four units

Vertical stretch and shift up 11

Horizontal shrink and shift down 11

Vertical shrink and shift up 11

Horizontal stretch and shift down 11

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

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

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

g(x) = 7x - 3

The graph of $$f$$  is shifted 3 units up to create the graph of $$g$$  .

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

The graph of $$f$$  is shifted 3 units down to create the graph of $$g$$  .

The graph of $$f$$  is less steep than the graph of $$g$$  .

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

Steeper; Shift up 5 units

Steeper; Shift down 5 units

Flatter; Shift up 5 units

Flatter; Shift down 5 units