Parent Functions and Transformations

Front

What is the parent function for an absolute value function? Options: f(x)=x³, f(x)=x, f(x)=IxI, f(x)=x²

Back

f(x)=IxI

Front

What is the parent function for a cubic function?

Back

f(x)=x³

Front

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

Back

Shifts down 5

Front

Describe the transformation applied to the parent function.
f(x) =  3 Ix+8I

Back

Stretches by 3, Shifts left 8

Front

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

Back

Compresses by (1/2), Shifts right 1, down 1

Front

Dale graphed the absolute value parent function. Then, he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

Back

f(x) = -Ix-4I +3

Front

What is the equation to this graph? Options: f(x)= Ix+2I +1, f(x)= Ix-2I +1, f(x)= Ix+2I -1, f(x)= Ix-2I -1

Back

f(x)= Ix+2I +1

Front

Which parent function matches the graph? Options: y = |x|, y = x, y = x², y = 2^x

Back

y = x²

Front

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

Back

linear

Front

What is the parent function for an absolute value function? Options: f(x)=x³, f(x)=x, f(x)=IxI, f(x)=x²

Back

f(x)=IxI