Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which of the following statements is true about vertical transformations of linear functions?A)The resulting functions will all have the same slope.B)The graphs of linear function and its vertical transformation will intersect at only one point.C)The original function and the transformed function will have the same equations but different graphs.D)Vertical transformations do not apply to equations of the form y= b.

Sagot :

The vertical transformation of a linear function of the form

[tex]y=mx+b[/tex]

is the shift of the y-intercept b; meaning, the vertical transformation only changes the value of b and leaves the slope unchanged.

Hence, the vertical transformation of functions leaves the slope unchanged, meaning choice A is correct one

Just to make sure we have got the right answer let us probe other answer choices.

Choice B is not correct since it implies that parallel lines should meet.

Choice C is not correct since the value of b is changed in the transformation, and therefore, the original equation and the transformed equation are not the same.

The function y = b is also a linear function but with slope zero and changing b here also counts as a vertical transformation - so this choice D is wrong.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.