Question

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

Answer 1

Answer:

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

Solution:

Given, equation is $y-9=-6(x-1)^{2}$

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  $y-9=-6(x-1)^{2}$

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

$\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9$

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).