1.5 Graphical Transformations

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

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.HSF.BF.B.3

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

How would the following graph differ from the graph of f(x)?

 $f\left(x-2\right)-4$  

• horizontal shift to the right 2 and vertical shift up 4

• horizontal shift to the right 2 and vertical shift down 4

• horizontal shift to the left 2 and vertical shift up 2

• horizontal shift to the left 2 and vertical shift down 2

Tags

CCSS.HSF.BF.B.3

The green line represents the function

 $y\ =\ x^2$ 
What function is represented by the blue line?

•  $y\ =\ -x^2\ -\ 3$  

•  $y\ =\ -x^2\ +\ 3$  

•  $y\ =\ -\left(x+3\right)^2$  

•  $y\ =\ -\left(x-3\right)^2$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the transformation from the graph of  $f\left(x\right)=\sin\left(x\right)$  to the graph of $g(x)=-\sin(x+5)$  

• 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

Tags

CCSS.HSF.BF.B.3

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation from dotted to solid.

• f(x + 5) + 3
• f(x +3) + 5
• f(x - 5) + 3
• f(x - 3) + 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7