Which function is a quadratic function?
A. y = 1/x
B. y=5x – 7
C. y = –x 2 + 2x **(I think that it is this one)
D. y =|x|
C is correct
You can also use x^2 for x-squared
C. is y= -x² + 2x
sorry...
Thanks!
A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0.
To determine which function is quadratic among the given options, we can solve for the powers of x in each equation:
A. y = 1/x - This is not a quadratic function since it has a power of -1 on x rather than x^2.
B. y = 5x - 7 - This is a linear equation with a power of 1 on x, so it is not a quadratic function.
C. y = −x^2 + 2x - This equation contains both a power of x^2 and a power of x, so it is a quadratic function.
D. y = |x| - This equation represents the absolute value function, which does not involve any powers of x, so it is not a quadratic function.
Therefore, among the given options, the quadratic function is C. y = −x^2 + 2x.