Geo: Algebraic Transformations

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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

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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

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

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

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

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Find the equation of the transformed graph

• $y=x^2+3$

• $y=\left(x+3\right)^2$

• $y=\ x^2-3$

• $y=\left(x-3\right)^2$

Find the equation of the transformed graph

• $y=x^2+3$

• $y=\left(x+3\right)^2$

• $y=\ x^2-3$

• $y=\left(x-3\right)^2$

• $y=\ \left|x\right|\ +\ 3$

• $y=\ \left|x\right|-\ 3$

• $y=\ \left|x+3\right|\$

• $y=\ \left|x-3\right|$

• $y=\ \left|x\right|\ +\ 3$

• $y=\ \left|x\right|-\ 3$

• $y=\ \left|x+3\right|\$

• $y=\ \left|x-3\right|$

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right