Transformations of Parabolas and Absolute

What is true about this graph?

• It has a horizontal translation of right 2

• It has a horizontal translation of left 2

• It has a vertical translation of up 1

• It has a vertical translation of down 1

The graph has a ​ (a)   (flip), a ​ (b)   (up/down slide), and a ​ (c)   (left/right slide).

The graph does not have a ​ (d)  

• vertical reflection

• vertical translation

• dilation

• rotation

• horizontal reflection

Match the parabolas to their proper transformations

• Vertical Reflection

• 
• Horizontal Translation

• 
• Dilation:

  Squish

• 
• Vertical Translation

• 
• Dilation:

  Stretch

• 

We know the following transformation is a ​ (a)   because it passes through the point ​ (b)  

• stretch

• squish

• reflection

The graph of a quadratic function f is shown and the vertex is labeled with its coordinates.  If g(x) = f(x - 1) + 2, what is the minimum value of g?

* The minimum value of g is ​ (a)   because the minimum value of f is ​ (b)   and the graph of g is shifted ​ (c)   from the graph of f by ​ ​ (d)   .​

• 6

• 4

• up

• 2

• 1

• 3

• 5

• down

• left

• right

The graph of a transformed squaring function is shown below. Which equation and description best describes the graph? Select the equation ​ (a)   and description ​ (b)  

• neither even nor odd function

• even function

• odd function

Tags

CCSS.HSF.BF.B.3

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

• 
• 
• 
• 

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical shrink/compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

Given f(x) = x² - 4 , how did we transform from the parent function?

• Horizontal shift left 4

• Vertical shift up 4

• Horizontal shift right 4

• Vertical shift down 4

• (h,k) = (-2,3)

• 
• (h,k) = (-3,-2)

• 
• (h,k) = (2,-3)

•