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Which function represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0)?
A) f(x) = - 7(x – 3) (x + 4)
B) f(x) = -6(x + 3) (x – 4)
C) f(x) = 8 (x-3) (x+4)
D) f(x) = 2 (x+3) (x – 4)

Answer :

It would be C for personal reasons only

The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0). Option C is correct.

What is a function, exactly?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The general parabola equation is as follows: y=p (x-h)²+k or x=p(y-k)²+h, with (h,k) indicating the vertex.

The equation of the parabola is;

y=p (x-3)²+0

y=p(y-0)²+ (-4)

On combining both the equations;

f(x) = 8 (x-3) (x+4)

The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0).

Hence,option C is correct.

Learn more about the function link.

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