Transformations of Quadratic Functions iStart

Given f(x) = (x – 3)² + 5. What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

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

  reflected across x-axis

• shifted left five units

  reflected across y-axis

• shifted left 5 units

  reflected across x-axis

• shifted right 5 units

  reflected across y-axis

Identify the transformations.

• shifted 2 to the left and vertically stretched by a factor of 3

• shifted 2 to the right and vertically stretched by a factor of 3

• shifted 2 to the right and vertically compressed by a factor of 3

• shifted 2 down and vertically stretched by a factor of 3

How did we transform from the parent function?

g(x) = –1/5(x – 1)² + 7

• reflection, vertical compression, horizontal right, vertical up

• vertical compression, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• no changes were made to y = x²

Compare the function y = 0.3x² to the parent function y = x²

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9