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The locus of the vertices of the family ...

The locus of the vertices of the family of parabolas `y =[a^3x^2]/3 + [a^2x]/2 -2a` is:

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The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x))/2-2a is x y=(105)/(64) (b) x y=3/4 x y=(35)/(16) (d) x y=(64)/(105)

The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x))/2-2a is x y=(105)/(64) (b) x y=3/4 x y=(35)/(16) (d) x y=(64)/(105)

The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x))/2-2a is x y=(105)/(64) (b) x y=3/4 x y=(35)/(16) (d) x y=(64)/(105)

The locus of the vertex of the family of parabolas y=(a^(3)x^(2))/(3)+(a^(2x))/(2)-2a is xy=(105)/(64) (b) xy=(3)/(4)xy=(35)/(16) (d) xy=(64)/(105)

Show that locus of vertices of the family of parabolas y=(a^(3)x^(2))/(3)+(a^(2)x)/(2)-2a is xy=(105)/(64)