Transformations of Functions: Writing Equations

Front

Which equation describes the transformation of shifting f(x)=x² two units right? Options: x² + 2, x² - 2, (x + 2)², (x - 2)²

Back

(x - 2)²

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

Description: Moves right 7

Back

Equation: D

Front

Description: Moves left 2

Back

Equation: B

Front

The blue is f(x)=|x|, red must be

Back

g(x)=|x-2|

Front

If the blue is f(x)=x², then the red must be: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²

Back

g(x)=x²-5

Front

Choose the correct translated function: f(x)= |x|+2, f(x)= |x|-2, f(x)= -|x|, f(x)= -|x|+2

Back

f(x)= -|x|+2

Front

Which equation below is a quadratic function translated up 5 units? Options: y = x² + 5, y = (x + 5)², y = 5x², y = -x² - 5

Back

y = x² + 5

Front

Back

g(x)=2x²

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²