Question

Find the Vertex (h, x) using this formula

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

If a parabola is defined as

$f(x)=ax^2+bx+c$          .... (1)

then the vertex of the parabola is

$Vertex=(-\frac{b}{2a},f(-\frac{b}{2a}))$

The given function is

$f(x)=-2x^2+4x-7$          .... (2)

From (1) and (2) it is clear that

$a=-2,b=4,c=7$

$h=-\frac{b}{2a}$

Substitute a=-2 and b=4 in the above equation.

$h=-\frac{4}{2(-2)}=-\frac{4}{-4}=1$

The value of h is 1.

substitute h=1 in function (2).

$f(1)=-2(1)^2+4(1)-7=-5$

The vertex of the function is (1,-5). Therefore the correct option is C.