Transformations of FUNctions

Front

Transformations of f(x) = (x-3)² + 5 from the original function.

Back

Right 3 and up 5

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph? Options: -f(x), f(-x), f^-1(x), f(2x)

Back

-f(x)

Front

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)? Options: g(x)=x³+1, g(x)=x³-1, g(x)=(x-1)³, g(x)=(x+1)³

Back

g(x)=(x-1)³

Front

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

Back

shifted left 5 units, reflection in x-axis

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

If the yellow curve has equation f(x)=x², what is the equation of the blue curve?

Back

f(x) = (x+c)²

Front

Transformations of f(x) = ⅔(x - 7)^2

Back

Vertical Shrink of ⅔, Right 7

Front

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

Back

Reflect over y-axis
Left 3

Front

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2), what is the vertex of g(x)?

Back

(-6, 5)

Front

f(x) is transformed to g(x). Which equation represents g(x)? Options: g(x)=2f(x), g(x)=0.5f(x), g(x)=f(x) + 2, g(x)=f(x + 2)

Back

g(x)=2f(x)