Transform Functions

The graph of y= x³ is shown. How will the graph of y= -x³ be different than the graph of y=x³ (shown)?

• y= x³ is increasing. y= -x³ will be decreasing.

• y= -x³ will be a parabola

• y = -x³ will move the graph of y= x³ down 1 unit

• y= -x³ will be thinner than y= x³

The graph of y= x² is shown in gray. How will the graph of y= 2(x-1)² be different than the graph of y=x² (shown)?

Check ALL the answers that are true!!!

• The graph y= 2(x-1)² will be wider than the graph of y=x².

• The graph y= 2(x-1)² will be thinner than the graph of y=x².

• The graph y= 2(x-1)² will open down and the graph of y=x² opens up.

• The graph y= 2(x-1)² will be 1 unit to the right of the graph for y=x².

• The graph y= 2(x-1)² will be 1 unit to the left of the graph for y=x².

The gray graph is y=|x|. What is a possible a-value for the pink graph?

• -2

• -1

• -.5

• .5

• 2

Describe the transformation of y = x³ + 4

• y=x³ moves UP

• y=x³ moves DOWN

• y=x³ moves LEFT

• y=x³ moves RIGHT

Tags

CCSS.HSF.BF.B.3

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

• vertical

• 2

• 1

• up

• down

• left

• right

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

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

• horizontal

• 4

• left

• vertical

• right

• 3

• up

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-IF.C.7B