Question

The cost of manufacturing x refrigerators is given by the function f(x)=2x^2+6000. If the cost doubles fr the year 2011 owing to higher raw material prices, which transformation will result in the graph of f(x)? CHOICES: Reflection, Vertical Stretch, Vertical Shrink, Horizontal Shrink, or Horizontal Stretch

Answer 1

Answer:  Vertical Stretch

Step-by-step explanation:

Given: The cost of manufacturing x refrigerators is given by the function :$f(x)=2x^2+6000$

If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :

$g(x)=2(2x^2+6000)=4x^2+12000$ which represents a vertical stretch in the graph.

∵ 2 is a positive constant  greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .