Transformations of Functions Review

Front

Transformations of f(x) = (x-3)² + 5 from the original function f(x)? Options: Left 3 and up 5, Right 3 and down 5, Left 3 and down 5, Right 3 and up 5

Back

Right 3 and up 5

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

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

If the blue function is f(x)=x², then the red function must be (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

Which equation describes the transformation of shifting f(x)=x³ three units left? Options: x³ + 3, x³ - 3, (x + 3)³, (x - 3)³

Back

(x + 3)³

Front

Which equation describes the transformation of shifting f(x)=x³ seven units up? Options: x³+7, x³-7, (x-7)³, (x+7)³

Back

x³+7

Front

Transformations of the function compared to y = √(x)?

Back

Reflected over the x-axis, vertical stretch, and shifted right 5