Transformations of Functions

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If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

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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.

• k=-11
• k=11
• k=5
• k=-5

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

• shifted up five units

• shifted down five units

• shifted left 5 units

• shifted right 5 units

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

What transformation occurs with y = -3∣x∣?

• Reflection and stretch

• Reflection and compression

• stretch

• compression

What transformation occurs in y = 1/2x²?

• Stretch

• Reflection and stretch

• Compression

• Reflection and compression