Question

Determine the vertex of the function f(x)=3x^2-6x+13

1. Identify the values of a and b
2. find the x coordinate of the vertex
3. Find the y coordinate by evaluating the function at the x-value found in the previous step

Answer 1

Explanation:

hello :

f(x)=3x^2-6x+13

1) a=3 and b= -6

2) the x coordinate of the vertex is : x= -b/2a so : x= -(-6)/6 = 1

3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10