(1-2) Transformations of Functions

Front

Which transformation maps the graph of f(x) = x² to the graph of f(x) = (x + 4)²?

Back

a translation shifting f(x) 4 units to the left

Front

Transformation of f(x) = x² to 2⋅f(x)

Back

Vertical Stretch by a factor of 2

Front

Transformation of f(x) = x² to 1/2⋅f(x)?

Back

Vertical Compression by a factor of 1/2

Front

What transformation occurs if f(x) = x² is replaced with f(x) + 2?

Back

Vertical translation up by 2 units.

Front

Transformation of f(x) for the new function f(x) + 5

Back

The graph of f(x) was shifted up 5 units.

Front

Describe the transformation of f(x) for the new function f(x) - 5.

Back

The graph of f(x) was shifted down 5 units.

Front

Describe the transformation of f(x) for the new function -f(x).

Back

The graph of f(x) was flipped vertically across the x axis.

Front

If the blue is f(x)=x², then the red must be: f(x) - 5, f(x) + 5, f(x + 5), f(x - 5)

Back

f(x) - 5

Front

If the blue graph is f(x), what is the red graph? Options: f(x - 3), f(x) - 3, f(x) + 3, 3f(x)

Back

f(x) - 3

Front

If the blue graph is f(x), what is the red graph? Options: f(x + 3), f(x - 3), f(x) + 3, gf(x) - 2

Back

f(x - 3)