Learning the transformations of functions
Let f(x) = -2x2 + 3x - 5. If g(x) represents f(x) after it has been shifted to the left by three units, and then shifted down by four, which of the following is equal to g(x)?
Possible Answers:
-2x^2 + 31x - 124
-2x^2 - 9
-2x^2 + 3x - 12
-2x^2 + 15x - 36
-2x^2 - 9x - 18
Correct answer: -2x^2 - 9x - 18
A dilation is a type of transformation that produces an image that is the same shape as the original, but is a different size, stretching or shrinking the original figure.
This is seen in animals.