Cubic Transformations Quiz

Identify the effect of the translation in the function f(x) = (x - 3)^3 + 2.

• Right 3, Down 2

• Right 3, Up 2

• Right 2, Up 3

• Left 3, Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the impact of the translation in the function g(x) = x^3 - 4?

• Vertical shift upward by 4 units

• Vertical shift downward by 4 units

• No impact on the function

• Horizontal shift to the left by 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Explain the effect of the translation in the function h(x) = (x + 2)^3 - 5.

• The effect of the translation is a stretch of the graph by 3 units and up by 5 units.

• The effect of the translation is a shift of the graph to the left by 2 units and down by 5 units.

• The effect of the translation is a shift of the graph to the right by 2 units and up by 5 units.

• The effect of the translation is a shift of the graph to the left by 5 units and down by 2 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Apply the transformation to the cubic function y = x^3: f(x) = (x - 2)^3.

• f(x) = (x + 2)^3

• f(x) = (x - 2)^2

• f(x) = (x - 3)^3

• f(x) = (x - 2)^3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If g(x) = (x + 4)^3, what transformation has been applied to the function y = x^3?

• Left shift by 4 units

• Reflection over the x-axis

• Vertical stretch by a factor of 4

• Right shift by 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Find the transformed cubic function when h(x) = (x - 3)^3 + 1 is applied to y = x^3.

• (x - 3)^3 + 1

• (x + 3)^3 + 1

• (x - 3)^3 - 1

• (x - 3)^2 + 1

Tags

CCSS.HSF.BF.B.3

Graph the transformed cubic function f(x) = (x - 1)^3 + 3.

• Graph the inverse cubic function

• Graph the transformed linear function

• Graph the original quadratic function

• Graph the transformed cubic function

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Draw the graph of the transformed cubic function g(x) = (x + 2)^3 - 4.

• Option B

• Option A

• Option C

• Option D

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Examine the impact of the transformation in the cubic graph when the function h(x) = (x - 4)^3 + 2 is applied to y = x^3.

• Horizontal shift of 4 units to the right and a vertical shift of 2 units up

• Vertical shift of 4 units to the right and a horizontal shift of 2 units up

• Horizontal shift of 4 units to the left and a vertical shift of 2 units down

• No transformation applied to the graph

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Analyse the effect of the transformation on the cubic graph when k(x) = (x + 1)^3 - 3 is applied to y = x^3.

• Shifted 1 unit to the left and 3 units down

• Shifted 2 units to the right and 5 units up

• Flipped upside down

• Remained unchanged

Tags

CCSS.HSF.BF.B.3