Transformations of Equations CW(guided)

Transformations of Equations CW(guided)

by Maurice Sargent

Objective​

SWBAT apply translations, stretches, compressions, and reflections IOT graph functions.​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Multiple Choice

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

Multiple Choice

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2

• y = -x² + 2

• y = x² - 2

• y = -(x + 2)²

Multiple Choice

What is the equation of this graph?

• f(x) = (x + 2)² - 3

• f(x) = (x - 2)² - 3

• f(x) = |x + 2| - 3

• f(x) = |x - 2| - 3

Multiple Choice

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Multiple Choice

Which equation represents this graph.

• f(x)=(x - 4)² - 3

• f(x)=-(x - 4)² + 3

• f(x)=(x - 4)² + 3

• f(x)=-(x + 4)² + 3

Multiple Choice

.  If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Multiple Choice

What are the following transformations? - f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

Multiple Choice

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

Multiple Choice

Describe the transformation of y = f(x) for the new function  y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 

• The graph of y = f(x) was shifted to the left 5 units. 

• The graph of y = f(x) was shifted up 5 units. 

• The graph of y = f(x) was shifted down 5 units.

Multiple Choice

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Multiple Choice

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units reflection in x-axis

• shifted down five units reflection in x-axis

• shifted left 5 units reflection x-axis

• shifted right 5 units reflection x-axis

Multiple Choice

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Multiple Choice

Describe the transformation

$$3h\left(x\right)$$  

• Vertical Stretch by a factor of 3

• Vertical Shrink by a factor of 3

• Horizontal Stretch by a factor of 3

• Horizontal Shrink by a factor of 1/3

Multiple Choice

Describe the transformation

$$h\left(\frac{1}{3}x\right)$$  

• Vertical Stretch by a factor of $$\frac{1}{3}$$  

• Vertical Shrink by a factor of $$\frac{1}{3}$$  

• Horizontal Stretch by a factor of 3 

• Horizontal Shrink by a factor of $$\frac{1}{3}$$  

Multiple Choice

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical compression

Multiple Choice

$$y=-2\left|x\right|$$  

Which graph represents this transformed function

Multiple Choice

• $$y=\ \left|x\right|\ -\ 1$$

• $$y=\ -\ \left|x\right|\$$

• $$y=\ \left|x\right|\$$

• $$y=\ \left|x-1\right|$$