Transformations of Functions

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

Back

g(x)=2x²

Front

Back

g(x)=(x-1)³

Front

Back

Front

Back

Front

Given f(x)=2x-8 and g(x)=2x+3. If the rule for the transformation of g(x)=f(x)+k, find the value of k.

Back

k=11

Front

Identify the transformation from the graph of f(x)=x² to the graph g(x)=(x+5)²

Back

shifted left 5 units

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 transformation occurs with y = -3∣x∣?

Back

Reflection and stretch

Front

What transformation occurs in y = 1/2x²?

Back

Compression