Identifying Graph Transformations

• A curve starting at the origin and increasing slowly, shifted left by 3 units

• A curve starting at the origin and increasing slowly, shifted right by 3 units

• A curve starting at the origin and increasing slowly, shifted up by 3 units

• A curve starting at the origin and increasing slowly, shifted down by 3 units

What is the translation from the red graph to the blue graph?

• Right 3, down 4

• Left 3, down 4

• Right 3, up 4

• Left 3, up 4

What is the translation from the green graph to the orange graph?

• Right 6, up 2

• Right 6, down 2

• Left 6, down 2

• Left 6, up 2

What is the transformation from f(x) to g(x)?

• Left 3, up 4

• Right 3, up 4

• Reflected across the x-axis, left 3, up 4

• Reflected across the y-axis, left 3, up 4

What is the translation from the purple graph to the black graph?

• Left 2, down 7

• Right 2, down 7

• Up 7

• Down 7

What is the translation from f(x) to g(x)?

• Left 4, down 9

• Left 4, up 9

• Right 4, down 9

• Left 10, up 9

• Vertical compression by 5

• Vertical stretch by 5

• Horizontal stretch by 5

• Horizontal compression by 5

Describe the transformation from f\left(x\right)=x^2 to g\left(x\right)=3\left(x\ -4\right)^2-3 .

• Vertical stretch by 3, right 4, down 3

• Horizontal compress by 3, right 4, down 3

• Reflect over the x-axis, vertical stretch by 3, right 4, down 3

• Vertical stretch by 3, left 4, down 3