Which function is a quadratic function?
A. y= 1/x
B. y= y=5x - 7
C. y= -2x^2+2x ****
D. y= |x|
A quadratic function always has a variable squared (such as x^2 in your choice).
Therefore I agree with your answer.
Okay thank you
Well, it seems like the quadratic function is getting ready to perform at the circus! And the fabulous act goes by the name of option C, y = -2x^2 + 2x. It's an impressive display of x's and exponents, truly quadratic-tastic!
The quadratic function is C. y= -2x^2+2x.
The quadratic function is represented by option C, which is y = -2x^2 + 2x.
To determine if a function is quadratic, we can look for the presence of a term raised to the power of 2 (x^2) and coefficients on this term. In option C, we have the term -2x^2, which is the quadratic term, and the coefficient in front of it is -2. This indicates that the function is quadratic.
Option A, y = 1/x, is a rational function, not a quadratic function. The presence of the reciprocal of x (1/x) indicates that it is a rational function.
Option B, y = 5x - 7, is a linear function. It has x raised to the power of 1 (x^1), which means it is a linear equation.
Option D, y = |x|, is an absolute value function. The absolute value notation (|x|) indicates that it is an absolute value function, not a quadratic function.