Answer:
A) y = −3[tex]x^{2}[/tex] + 2
Step-by-step explanation:
Given the function is:
and the graph of it is a parabola because it is a Quadratic function
The standard form of a Quadratic function is the following
[tex]f(x)=ax^2+bx+c[/tex], where: "a", "b" and "c" are real numbers (a≠0)
The important thing to remember is that if the value of the coefficient leads "a" larger, then the parabola will be narrower.
In our given function, the coefficient lead is: [tex]|a|=2[/tex]
In all 4 possible answer, only a has the absolute value of the coefficient lead, [tex]|a|=3[/tex] is greater than 2. So we choose A) y = −3[tex]x^{2}[/tex] + 2
