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5 votes
F (x) =x^2-6x+4 how do i find the vertex ?

User EGlyph
by
4.7k points

1 Answer

5 votes

Answer:

(3, -5)

Explanation:

So, there are three steps in finding the vertex.

We need to first find a, b and c. a is the x^2 coefficent, b is the x cofficent, and c is the number value. In this case:

a=1, b=-6, and c=4

To find the x value of the vertex, plug in a and b into the formula:

-b/2a = x coord of vertex:

-*-6/2*1

=

6/2

=

3

So the x coordinates of the vertex is 3.

To find the y cooridnates, plug in 3 into the orginal equation:


(3^2)-(6*3)+4

=


9-18+4

=


-5

So -5 is the y coordinates of the vertex.

Answer:

(3, -5)

Hope this helps!

Going over steps:

Step 1 - Find values a b and c: a=x^2 coefficent. b=x coefficent. c=number

Step 2 - Plug in a and b into -b/2a

Step 3 - Plug in x into equation

User Marian Zagoruiko
by
5.6k points