Transformations of Graphs Quiz

Identify the transformation of the graph of the function f(x) = x^2 to g(x) = (x - 3)^2 + 2.

• Horizontal shift 3 units left and vertical shift 2 units up

• Horizontal shift 3 units right and vertical shift 2 units up

• Horizontal shift 3 units right and vertical shift 2 units down

• Horizontal shift 3 units left and vertical shift 2 units down

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Which of the following represents a vertical stretch by a factor of 2 of the graph of f(x) = x^2?

• g(x) = 2x^2

• g(x) = 1/2x^2

• g(x) = x^2 + 2

• g(x) = (2x)^2

Tags

CCSS.HSF.BF.B.3

Fill in the blank: The graph of the function f(x) = e^x is translated 4 units down to obtain the graph of the function g(x) = e^x - ____.

Tags

CCSS.HSF.BF.B.3

Match the following transformations with their descriptions: 1. f(x) = x^2 + 5 2. f(x) = (x + 3)^2 3. f(x) = 2x^2 4. f(x) = x^2 - 4 A. Vertical shift 5 units up B. Horizontal shift 3 units left C. Vertical stretch by a factor of 2 D. Vertical shift 4 units down

Tags

CCSS.HSF.BF.B.3

The graph of f(x) = 2^x is transformed to g(x) = 2^{x-1} + 3. What are the transformations applied?

• Horizontal shift 1 unit left and vertical shift 3 units up

• Horizontal shift 1 unit right and vertical shift 3 units up

• Horizontal shift 1 unit right and vertical shift 3 units down

• Horizontal shift 1 unit left and vertical shift 3 units down

Tags

CCSS.HSF.BF.B.3

Open-ended: Describe the transformation of the graph of f(x) = x^2 to g(x) = -x^2 + 4.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which of the following functions represents a horizontal shift 2 units to the left of the graph of f(x) = 3^x?

• g(x) = 3^{x+2}

• g(x) = 3^{x-2}

• g(x) = 3^{x} + 2

• g(x) = 3^{x} - 2

Tags

CCSS.HSF.BF.B.3

Identify the transformation of the graph of f(x) = x to g(x) = -x + 3.

• Reflection over the y-axis and vertical shift 3 units up

• Reflection over the x-axis and vertical shift 3 units up

• Reflection over the x-axis and vertical shift 3 units down

• Reflection over the y-axis and vertical shift 3 units down

Tags

CCSS.HSG.CO.A.4

Fill in the blank: The graph of the function f(x) = x^2 is horizontally compressed by a factor of 3 to obtain the graph of the function g(x) = (____x)^2.

Tags

CCSS.HSF.BF.B.3

Which of the following represents a vertical compression by a factor of 1/3 of the graph of f(x) = x^2?

• g(x) = 1/3x^2

• g(x) = 3x^2

• g(x) = x^2 + 1/3

• g(x) = (3x)^2

Tags

CCSS.HSF.BF.B.3