Question

A point is translated on the coordinate plane from (4, - 1) to (4, 2) Journey writes the function g(y) = y + k to describe the translationWhat is the value of K?

Answer 1

The coordinate point Q (0, 10) is reflected over the y-axis Identify the x - 3 and y-coordinates of its image, Q'

Answer 2

To find the value of k, we need to determine the difference in the y-coordinates before and after the translation.

The original y-coordinate is -1, and after the translation, it becomes 2. The difference between these two y-coordinates is 2 - (-1) = 3.

Since the function g(y) = y + k, we can see that the value of k that will result in a translation of 3 units is K = 3.

Therefore, the value of k is 3.

Answer 3

When a point is reflected over the y-axis, the x-coordinate is negated and the y-coordinate remains the same.

The original x-coordinate of point Q is 0. When reflected over the y-axis, the x-coordinate becomes -0, which can be simplified as just 0.

The original y-coordinate of point Q is 10. When reflected over the y-axis, the y-coordinate remains the same.

Therefore, the x-coordinate of the image Q' is 0, and the y-coordinate of the image Q' is still 10.