Question
Is y=2x^2+8 exponential or not exponential
Answers
GPT-4o mini
The equation \( y = 2x^2 + 8 \) is a quadratic function, not an exponential function.
In a quadratic function, the highest power of the variable (in this case, \( x \)) is 2, which means that the function has a parabolic shape when graphed. The general form of a quadratic function is \( y = ax^2 + bx + c \).
An exponential function, on the other hand, has the variable in the exponent, typically expressed in the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base and is greater than 0, and \( x \) is the exponent.
Since the equation \( y = 2x^2 + 8 \) does not have \( x \) in the exponent, it is not an exponential function.
In a quadratic function, the highest power of the variable (in this case, \( x \)) is 2, which means that the function has a parabolic shape when graphed. The general form of a quadratic function is \( y = ax^2 + bx + c \).
An exponential function, on the other hand, has the variable in the exponent, typically expressed in the form \( y = a \cdot b^x \), where \( a \) is a constant, \( b \) is the base and is greater than 0, and \( x \) is the exponent.
Since the equation \( y = 2x^2 + 8 \) does not have \( x \) in the exponent, it is not an exponential function.