Which point gives the vertex of f(x) = -x2 + 4x - 3? A) (2,-1)
B) (2.1)
C) (2,-13)
D) (-2,-13)

B

Step-by-step explanation:

There are several ways to find the vertex of function such as formula, completing the square or differential.

I will use the formula to find the vertex.

We are given the function:

Vertex Formula

Let (h,k) = vertex

From the function, compare the coefficients:

Therefore:-

Then evaluate for h-value and k-value.

Therefore the vertex is (h,k) = (2,1)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

idk

step-by-step explanation: i just don't