Function Transformation

• Narrow

• Wider

Which of the following describes the transformations of the function g(x) from the parent function of f(x) = x² ? g(x) = 2x² + 4

• Vertical stretch by a factor of 2 and a translation up 4 units

• Vertical shrink by a factor of 1/2 and a translation up 4 units

• Vertical stretch by a factor of 2 and a translation left 4 units

• Vertical shrink by a factor of 1/2 and a translation right 4 units

• Vertical stretch by a factor of 2 and a translation right 4 units

Describe the transformation of g(x) from its parent function f(x). g(x) = -(x + 3)²

• translation left 3 units, reflection over the x axis

• translation right 3 units, reflection over the x axis

• translation left 3 units, reflection over the y axis

• translation right 3 units, reflection over the y axis

• translation up 3 units, reflection over the x axis

The transformation of f(x) = x is given by g(x) = f(x - 3). Describe the transformation.

• translation up 3 units

• translation down 3 units

• translation left 3 units

• translation right 3 units

The graph of g(x) is a
(a)   translation ​ (b)   units ​ ​ (c)   the graph.

• vertical

• 2

• 1

• up

• down

• left

• right

Mathematical Equivalence

ON

Tags

F.BF.3

Given the following, translate the graph seven left and two up!

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7B

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

The graph of r(x) is a​ ​ (a)   ​by the graph of f(x) by a factor of ​ ​ (b)   .

• horizontal stretch

• horizontal shrink

• vertical stretch

• vertical shrink

• 1/3

• 3

• 2/3

Take the specified parent function and translate it left by 7 units, reflect it vertically, stretch it vertically by a factor of 2 units, then translate it 2 units up.

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3