Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Disable ads (and more) with a membership for a one time $2.99 payment

Prepare for the Ohio Assessments for Educators Mathematics Test with our interactive quizzes. Utilize flashcards and multiple choice questions, complete with hints and explanations, to boost your readiness.

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

For a matrix to translate along the y-axis, how is it represented mathematically?

y + y1, y2, yn
x + x1, x2, xn
y - y1, y2, yn
x - x1, x2, xn

The correct answer is: y + y1, y2, yn

When analyzing how a matrix performs translations along the y-axis, it's important to understand the concept of coordinate transformations in linear algebra. A translation involves shifting points in a coordinate system by a certain amount. For a matrix or transformation to translate points along the y-axis, you need to alter only the y-coordinate of each point while leaving the x-coordinate unchanged. This means you would add a specific value to the y-coordinates of the points in your matrix to shift them upward or downward. The representation should reflect that the translation affects the y-coordinates. The correct mathematical representation for translating points along the y-axis is adding a constant value (let’s denote it as $ y1 $) to each y-coordinate. This can be represented as: y + y1, y2, yn, where $ y $ is the original y-coordinate and $ y1 $ is the amount of translation. In summary, the mathematical representation of translating along the y-axis focuses on modifying the y-coordinates while keeping the x-coordinates constant, which corresponds directly to the correct choice.