Question

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point

Answer 1

The equation of the parabola in the vertex form is y =  (x - 3$)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h$)^{2}$ + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = $x^{2}$ - 6x + (9 -9) + 4

y = (x - 3$)^{2}$ + ( -9 + 4)

y =  (x - 3$)^{2}$ - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y =  (x - 3$)^{2}$ - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

#SPJ1