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

Back

g(x)=2x²

Front

Back

g(x)=(x-1)³

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

Front

Which equation describes the transformation of shifting f(x)=x³ four units down? Options: x³+ 4, x³- 4, (x - 4)³, (x + 4)³

Back

x³- 4

Front

Transformation of shifting f(x)=x³ seven units up? Options: x³+7, x³-7, (x-7)³, (x+7)³

Back

x³+7

Front

Which equation describes the transformation of shifting f(x)=x³ three units left? Options: x³ + 3, x³ - 3, (x + 3)³, (x - 3)³

Back

(x + 3)³

Front

What is the name of this parent function? Options: Quadratic Function, Linear Function, Cubic Function, Square Root Function

Back

Cubic Function

Front

Which parent function matches the graph? Options: y = |x|, y = ∛(x), y = x², y = a⋅b^x

Back

y = x²

Front

What type of function is shown? Options: absolute value, quadratic, linear, exponential

Back

linear