Stretch and Compress Quadratic Functions

• more narrow

• more wide

• reflect over x-axis

• reflect over y-axis

Which of the following shows a vertical stretch of the parent function?

• y = -5x²

• y = -x²

• y = 2/5x²

• y = -3/4x²

Which transformation will occur if f(x) = x² is replaced with 2x²?

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Given f(x) = ax² , if a > 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

Which quadratic function is compressed by the greatest factor?

• y = 5x²

• y = -¼x²

• y = -½x²

• y = 5x²

For the equation y = 5x² , what transformation will occur?

• compressed by factor of 5

• stretched by a factor of 5

• compressed by a factor of -5

• stretched by a factor of -5

If red represents y = x², which equation represents black?

• y = 7x²

• y = -7x²

• y = -(1/7)x²

• y = x² - 7

The constant "4" in the quadratic function: produces:

• A vertical stretch by a factor of 4

• A vertical compression by a factor of 1/4

• A horizontal stretch by a factor of 4
  

• A horizontal compression by a factor of 1/4

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)