Just by looking at y = −x 2 + 1, how do you know that it does not represent a line?
Responses
A x is squared.x is squared.
B There is no constant term.There is no constant term.
C There is an increase of 1.There is an increase of 1.
D The coefficient is − 1.
The correct answer is A. By looking at the equation y = -x^2 +1, you can tell that it does not represent a line because x is squared. In a linear equation, the highest power of x is 1, whereas in this equation it is 2. Therefore, it represents a quadratic equation, not a line.
The correct answer is A) x is squared. In the equation y = -x^2 + 1, the variable x is squared, which indicates that it is a quadratic equation. A quadratic equation does not represent a line but a curved shape. In a linear equation, the highest power of x would be 1, not 2. So by looking at the equation, you can determine that it does not represent a line.
