The equation of the graph in which the vertex (4,2) and a=-2 is
y=-2[tex](x-4)^{2}[/tex]+2.
Given that the point of the vertex is (4,2) and a=-2.
Equation is like a relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation or many more depending on the power of variable in the equation.
We know that point of vertex look like (h,k) in the equation and equation look like as under:
y=a[tex](x-h)^{2} +k[/tex].-----------1
So in order to find the equation we have to just put h=4 and k=2 and a=2 in equation 1.
y=-2[tex](x-4)^{2} +2[/tex]
Hence the equation of the graph in which the vertex (4,2) and a=-2 is
y=-2[tex](x-4)^{2}[/tex]+2.
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