The vertex of an equation is the minimum or the maximum point on the graph.
The equation with the vertex is (-3,4) is: [tex]\mathbf{y = a(x + 3)^2 + 4}[/tex]
The vertex is given as:
[tex]\mathbf{(h,k) = (-3,4)}[/tex]
Let the equation be:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute values for h and k in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{y = a(x - (-3))^2 + 4}[/tex]
[tex]\mathbf{y = a(x + 3)^2 + 4}[/tex]
Hence, the equation with the vertex is (-3,4) is: [tex]\mathbf{y = a(x + 3)^2 + 4}[/tex]
Read more about vertex at:
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