Transforming Shapes

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)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)

Select all of the transformations that carry the square onto itself.

• a reflection over the line

  x = 3

• a reflection over the line

  y = -x

Tags

CCSS.HSG.CO.A.3

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

• y=(x-4)²+1

• y=(x-4)²-1

• y=(x+4)²+1

• y=(x+4)²-1

• 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

• moves right 3, Vertical Stretch , and down 4

• Horizontal stretch, moves right 3, and down 4

• moves right 3, Horizontal compression, and down 4

• Vertical stretch, moves left 3, and down 4