In Class Assignment: 4/18/25

What transformation takes you from the black graph to the blue graph?

• Reflection over y-axis

• Reflection over x-axis

• Shift 2 down

• Shift 2 up

What transformation takes you from the black graph to the blue graph?

• Shift 3 up

• Shift 3 down

• Shift 3 right

• Shift 3 left

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  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

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

Find the equation of the transformed graph

Given g(x) = (x-3)² + 5.  What transformations took place from the original function f(x)=x²?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

• 3 Units Up

• 3 Units Down

• 3 Units Left

• 3 Units Right

• 5 Units Up

• 5 Units Down

• 5 Units Left

• 5 Units Right

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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

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2