Transformations of functions

Front

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Back

a translation shifting f(x) 4 units to the left

Front

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Back

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 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

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

Which equation describes the transformation of shifting f(x)=x³ four units down? Options: x³+ 4, x³- 4, (x - 4)³, (x + 4)³

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

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

Back

shifted down three units

Front

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

Back

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

Front

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

Back

horz shift right 4, vert stretch by a factor of 3

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