Functions Transformation Vertical Stretch and Compress

What transformations has the function undergone?

• reflect over y, vertical compress by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• vertical shrink by a factor of 1/4,translation down 2 units

• vertical shrink by a factor of 1/4,translation right 2 units

• vertical stretch by a factor of 1/4,translation down 2 units

• vertical stretch by a factor of 1/4,translation right 2 units

Tags

CCSS.HSF.BF.B.3

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• reflection over the x-axis,vertical compress by a factor of 5

• reflection over the y-axis,vertical compress by a factor of 5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

Identify the Transformations. 

• Vertical stretch by 2 and down 4

• Horizontal compression by ½ and down 4

• Vertical stretch by 2 and up 4

• Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

Which is a correct representation of the original function f(x) to its transformation g(x)?

• g(x)=-¼f(x)

• g(x)= -4f(x)

• g(x)= ¼f(x)

• g(x)=4f(x)

When k = 4, the graph of g is the graph of f​ ​​ ​ ​ ​ ​ ​ ​ ​ (a)   by a factor of 4

• stretched vertically

• compressed horizontally

• stretched horizontally

• compressed vertically

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=2f(x)

• g(x)=0.5f(x)

• g(x)=f(x) + 2

• g(x)=f(x + 2)

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

• The graph of g is steeper than the graph of f.

• The graph of g is less steep than the graph of f.

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.