Day 16 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

DOMAIN?

Back

(-∞,∞)

Front

What is the RANGE?

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

Transformation of y = (x - 4)²

Back

Shift RIGHT

Front

Transformation of y = x² + 4

Back

Shift UP

Front

How did we transform from the parent function?
y = x² + 2
Options: horizontal shift up, vertical shift up, horizontal shift down, vertical shift down

Back

vertical shift up

Front

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units? Options: y = x² - 5, y = x² + 5, y = (x - 5)², y = (x + 5)²

Back

y = x² + 5

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

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