value Equation in
vertex form 𝒚 = −(𝒙 + 𝟓)^𝟐 − 3
find the Equation of the axis
of symmetry
The equation of the axis of symmetry for a quadratic function in vertex form is 𝒙 = 𝒉, where 𝒉 is the x-coordinate of the vertex.
In this case, the vertex form is 𝒚 = −(𝒙 + 𝟓)^𝟐 − 3, which means the vertex is at (-5,-3).
Therefore, the equation of the axis of symmetry is 𝒙 = -5.
To find the equation of the axis of symmetry, we need to determine the x-coordinate of the vertex of the parabola.
From the given equation, we can observe that the vertex form of the equation is y = -(x + 5)^2 - 3.
In this form, the x-coordinate of the vertex is the opposite of the number inside the parentheses, which is -5 in this case.
Therefore, the equation of the axis of symmetry is x = -5.