1.6 Transformations of Functions "Flashcard"

Front

Identify the transformations: horizontal shift to the left 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical shrink by a factor of 3, horizontal shift to the left 2 and vertical shrink by a factor of 3.

Back

horizontal shift to the right 2 and vertical stretch by a factor of 3

Front

Transformation from f(x) to g(x) = |-x + 3|

Back

Reflect over y-axis
Left 3

Front

Describe the transformations that map
y = g(x) to y = - g(x + 6) - 10

Back

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

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.

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

Back

f(x)=3∣x−2∣−2

Front

Equation of the graph: f(x) = (x + 2)² - 3, f(x) = (x - 2)² - 3, f(x) = |x + 2| - 3, f(x) = |x - 2| - 3

Back

f(x) = |x + 2| - 3

Front

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

Back

Vertical Stretch by a factor of 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 down 5 units.