I have sent students questions like the following many times.
And my students almost always get this question correct.
A few years ago, when I tested a similar question on a no-calculator, no-multiple choice part of their test, I was surprised to find several students with the following answer:
The next day in class, without mentioning their responses, I sent my students the following Quick Poll.
As students start typing their response into the Quick Poll, it graphs the equation.
Several of them tried to enter the equation the way they had written it on their test – and then wondered why the function was being translated down 1 instead of to the right 3 and up 2.
They learned the lesson I needed them to learn by correcting their own work.
And I am learning to use appropriate tools strategically along with formative assessment better every day. The y= question with the “Include a Graph preview” option gives my students the opportunity to attend to precision while they are learning – and then they are better able to attend to precision with whatever type of function I might give them on the no calculator part of a summative assessment.
And so the journey to continue learning the appropriate use of technology continues …