Transformations of Functions

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

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?
Options: a translation shifting f(x) 4 units up, a translation shifting f(x) 4 units down, a translation shifting f(x) 4 units to the left, a translation shifting f(x) 4 units to the right

Back

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

Front

Describe the transformation of y = f(x) for the new function y = f(x) + 5.

Back

The graph of y = f(x) was shifted up 5 units.

Front

Describe the transformation of y = f(x) for the new function y = f(x) - 5.

Back

The graph of y = f(x) was shifted down 5 units.

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?

Back

-f(x)

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

Describe the transformation to f(x) that results in g(x)=f(x-1)-5.

Back

f(x) has been translated to the right one and down five.

Front

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x+5)². Options: shifted up five units, shifted down five units, shifted left 5 units, shifted right 5 units.

Back

shifted left 5 units

Front

Equation for quadratic function translated right 4 units: y = x² + 4, y = (x + 4)², y = (x - 4)², y = 4x²

Back

y = (x - 4)²