Question

What are the words that best describe the given equation y = x² - 1?

A) The x-value squared is 1 less than the y-value.
B) The x-value minus 1 is the square of the y-value.
C) The y-value is 1 less than the square of the x-value.
D) The y-value is 1 minus the square of the x-value.

Answer 1

The correct description for the equation y = x² - 1 is C) The y-value is 1 less than the square of the x-value, as it accurately reflects the operation to find y from x in the equation.

Step-by-step explanation:

The correct description of the equation y = x² - 1 is: The y-value is 1 less than the square of the x-value. This corresponds to option C. When you square the x-value, and then subtract 1, you get the y-value. So, for every x, you perform x² (x squared) and then subtract 1 to find the corresponding y.

Options A and D are incorrect because they do not accurately describe the operation sequence in the equation. Option B is incorrect as it describes the operation sequence in reverse and inaccurately states that the x-value minus 1 equals the square of the y-value, which is not represented in the given equation.