Transformations of Functions

Front

Back

Shift 3 units right

Front

Back

Shift 7 units up

Front

If the blue graph is the parent function, what is the equation of the red (transformed) function? 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

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Back

g(x) = x² - 3

Front

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

Back

g(x)=-√x

Front

Transformation of shifting f(x)=x³ four units down.

Back

x³- 4

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

Back

f(x) = −(x+2)³−1

Front

What is the equation of this graph? Options: 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

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