B3NS0N B3NS0N
  • 06-02-2020
  • Mathematics
contestada

True or False: The vertex of the graph y=ax^2 will be at the origin.​

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vickyalice86
vickyalice86 vickyalice86
  • 06-02-2020

If b^2 - 4ac = 0, then b^2 = 4ac. Therefore, ac = 4 and b = + or -2.

That means that if b can be multiple things, then there a two y =  equations.

y=ax^2+2x+c

y=ax^2-2x+c

so to find the intercept equations:

0=ax^2+2x+c; 0 = x(ax+2)+c; x(ax+2) = -c

0=ax^2-2x+c; 0 = x(ax -2)+c; x(ax-2) = -c

That means x has a positive and a negative value, so there is more than 1 intercept.

False.

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