Transformations

f(x) = 2x

• Vertical stretch

• Vertical compression

• Vertical translation up

• Reflection over the x-axis

• No Transformation

Tags

CCSS.HSF.BF.B.3

f(x) = x² - 6

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• Reflection over the x-axis

What will be the vertex of

f(x) = 4 (x-3)² + 1 ?

• (3,1)

• (1,3)

• (-3,1)

• (3, -1)

• None of these.

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

Tags

CCSS.HSF.BF.B.3

Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

• g(x) = 5x²

• g(x) = -5x²

• g(x) = x² + 5

• g(x) = (x + 5)²

Tags

CCSS.HSF.BF.B.3

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.3

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)² - 8. Write a rule for g.

• g(x) = (x - 4)² + 4

• g(x) = (x + 10)² + 4

• g(x) = (x - 4)² - 20

• g(x) = (x + 10)² - 20

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.8

Let the graph of g be a reflection in the x-axis of the graph of f(x) = x² - 7. Write a rule for g.

• g(x) = x² + 7

• g(x) = -x² + 7

• g(x) = -x² - 7

• g(x) = -7x²

Tags

CCSS.HSF.BF.B.3

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of f(x) = x² + 2. Write a rule for g.

• g(x) = 3x² + 6

• g(x) = -3x² - 6

• g(x) = -3x² - 2

• g(x) = 3x² + 2

Tags

CCSS.HSF.BF.B.3

For g(x) = (x - 10)² - 4, describe the transformation from the parent function.

• Shift left 10 and down 4 units

• Shift right 10 and down 4 units

• Shift left 10 and up 4 units

• Shift right 10 and up 4 units