Basic Transformations of Functions

Front

What is the name of this function? Options: Absolute Value, Cubic, Quadratic, Sine

Back

Quadratic

Front

What is the name of this function? Options: linear, quadratic, square root, absolute value

Back

absolute value

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

If the blue function is f(x), what is the equation of the red function?

Back

g(x)=f(x - 3)

Front

How is the function y = -2|x| transformed from y = |x|?

Back

Stretched vertically by a factor of 2 and reflected over x-axis

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

Transformation of f(x) = x² to f(x) + 2

Back

Vertical translation up by 2 units.

Front

Transformation of f(x) = x² to -f(x)

Back

Reflection across the x-axis.

Front

Transformation from f(x) = x² to g(x) = 1/3(-x)²

Back

reflection y-axis and vertical compression

Front

Description: moves down 3

Back

Equation: C