Answer: Third option.
Step-by-step explanation:
It is important to know the following:
1. The Slope-Intercept form of a Linear function is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
Notice that the highest exponent of the variable "x" is 1.
2. The General form of a Quadratic function is:
[tex]y=ax^2 + bx + c[/tex]
Where "a", "b" and "c" are known values ([tex]a\neq 0[/tex])
Notice that that the highest exponent of the variable "x" is 2.
The equation given in the exercise is:
[tex]y= -3x^2+4[/tex]
Observe that highest exponent of the variable "x" is 2. Therefore, it is a Quadratic equation.
Therefore, making an exponent 1 instead of the exponent 2 would turn the given equation into a Linear function.
