Transformations of Functions

Front

If the blue function is f(x)=x², then the red function 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

If the blue function is f(x)=√x, the red function must be: g(x)=√(-x), g(x)=√(x-1), g(x)=√x-1, g(x)=-√x

Back

g(x)=-√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).

Back

f(x) has been reflected over the x-axis.

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

What is the domain? Options: (-∞,∞), [0,∞), (-∞,0], -2, 2

Back

(-∞,∞)

Front

What is the RANGE? Options: (-∞,∞), [0,∞), (-∞,0], [-∞,∞]

Back

[0,∞)

Front

The blue function is the parent 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

f(x) = ⅔(x - 7)²

Back

Wider of ⅔ Right 7

Front

Let f(x) = 2x - 3. Find 5(f(x)).

Back

10x - 15