Equation in
vertex form 𝒚 = −(𝒙 + 𝟓)^𝟐 − 𝟑 find the Coordinates of
vertex
The vertex form of a quadratic equation is 𝒚 = 𝒂(𝒙 − 𝒉)^𝟐 + 𝒌, where (𝒉, 𝒌) is the vertex.
Comparing this to the given equation 𝒚 = −(𝒙 + 𝟓)^𝟐 − 𝟑, we can see that 𝒂 = −1, 𝒉 = −5, and 𝒌 = −3.
Therefore, the vertex is at (-5, -3).
To find the coordinates of the vertex in the given equation, we can simply look at the equation in vertex form: 𝒚 = −(𝒙 + 𝟓)^𝟐 − 𝟑.
The vertex form of the equation is given as 𝒚 = 𝒂(𝒙 − 𝒉)^𝟐 + 𝒌, where (𝒉, 𝒌) represents the coordinates of the vertex.
Comparing this with the given equation, we can see that 𝒉 = -5 (since 𝒙 + 𝟓 = 𝒙 - 𝒉), and 𝒌 = -3.
Therefore, the coordinates of the vertex are (-5, -3).