Transformations With Functions

Which transformation of y=f(x) moves the graph 7 units to the left and 3 units down?

• y = f(x + 7) - 3

• y = f(x + 7) + 3

• y = f(x - 7) - 3

• y = f(x - 7) + 3

Tags

CCSS.HSF.BF.B.3

The accompanying graph represents the equation y = f(x).

Which graph represents g(x) if g(x) = -f(x)?

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The graph of y = f(x) is shown to the side.

What is the graph of y = f(x + 1) - 2?

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Tags

CCSS.HSF.BF.B.3

Consider the function y = h(x), defined by the first graph. Which equation could be used to represent the second graph?

• y = h(x) - 2

• y = h(x - 2)

• y = -h(x)

• y = h(-x)

Tags

CCSS.HSF.BF.B.3

The image shows a ​ (a)   translation ​ (b)   units ​ (c)  

• horizontal

• 4

• left

• vertical

• right

• 3

• up

Tags

CCSS.HSG.CO.A.2

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

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

• vertical

• 2

• 1

• up

• down

• left

• right

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

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

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

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3