What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

Solution:

Given, equation is

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is  

Where, h and k are x, y co ordinates of the vertex of the parabola.

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13