Transforming Units

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.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

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)

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

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3) ²+ 1

• f(x) = (x + 1)²- 3

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

• y=(x-4)²+1

• y=(x-4)²-1

• y=(x+4)²+1

• y=(x+4)²-1

Describe the translation from f(x)=(x+2)²-3  to  f(x)=(x-3)²-5

• Five units to the right, 2 units up

• Five units to the right, 2 units down

• Five units to the left, 2 units up

• Five units to the left, 2 units down

• Translation left 1 unit, Vertical Stretch, Translation down 1 unit

• Vertical Compression, Translation right 1, Translation down 1

• Vertical stretch, Translate right 1 unit, Translation down 1 unit

• Translation left 1 unit, Horizontal stretch, Translation down 1 unit