Transformations of Functions Review

Front

Which transformation maps the graph of f(x) = x² to the graph of g(x) = (x + 4)²? Options: a translation shifting f(x) 4 units up, a translation shifting f(x) 4 units down, a translation shifting f(x) 4 units to the left, a translation shifting f(x) 4 units to the right

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

Describe the transformation of y = f(x) for the new function y = f(x) + 5.

Back

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

Front

Transformation of y = |x - 4| from y = |x|

Back

Right 4

Front

What are the transformations?
y=(x-2)³+4

Back

Horz shift right 2      Vert shift up 4

Front

If the blue function is f(x)=x², what is the red function? Options: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²

Back

g(x)=x²-5

Front

Match the equation to its description: Right 2 and up 2, Left 2 and up 2, Right 2 and down 2, Left 2 and down 2

Back

Right 2 and up 2

Front

Describe the transformation to f(x) that results in g(x) = -f(x).

Back

f(x) has been reflected over the x-axis.

Front

Describe the transformation to f(x) that results in g(x)=f(x-1)-5.

Back

f(x) has been translated to the right one and down five.