Transformations Parents Functions

• Shifts left 4 units, up 2 units

• Shifts right 4 units, up 2 units

• Shifts left 4 units, down 2 units

• Shifts right 4 units, down 2 units

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

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

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

What is the domain of this graph?

• $x\ge0$

• $x<0$

• All real numbers
  

• None of the above

If the blue function is f(x)=x², then the red function must be..? (Click on image to zoom)

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

What is the RANGE?

• All real numbers

• $y\ge0$

• $y\le0$
  

• None of the above

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

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

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 
• f(x) = -3|x| - 7
• f(x) = -|-x + 1| + 4
• f(x) = 5|x - 4| - 1