f(x)=-7x2-x+2 represents a quadratic function.
Step-by-step explanation:
Lets do process of elimination, but first we need to know some stuff about a quadratic function.
The Standard form of a quadratic function is ax2 +bx+c where a cannot be 0.
The reason why A cannot be 0 is that if it were 0, it would make the function linear. You would just be left with bx+c, which is linear.
Alright, now lets eliminate some answers.
A f(x)=2x3+2x2-4. This is not correct.
With a quadratic function, the highest exponent needs to be 2, and it is always 2.
With this one, there is a power of 3, so this is wrong. This is a cubic function because it is raised to the power of 3.
C. f(x)=-3x+2.
This is a linear function because it is written in the y=mx+b, and it has a constant rate of change. When graphed, this would not be a parabola, or the graph of a quadratic function. Therefore, this is incorrect.
D. f(x)=0x2+3x-3.
This is incorrect. Yes, it is true that a quadratic function in standard form is ax2+bx+c, however in this case, a=0. We know that a cannot be 0 in a quadratic function because it would make the graph linear or form a straight line.
B. f(x)= -7x2-x+2.
This answer is correct because with have an a value that is not 0, and when graphed, it forms a parabola, which is the graph of a quadratic function. In addition, the highest power is also 2.
Hope this helps, and I hope you have a good day!
