ShMoneyyy9541 ShMoneyyy9541
  • 22-10-2019
  • Mathematics
contestada

Write the equation of a parabola similar to y=2x² that does NOT contain the point (0,0) but does contain the point (1,1).

Respuesta :

pedrocarratore
pedrocarratore pedrocarratore
  • 22-10-2019

Answer:

[tex]y=2x^{2} -1[/tex]

Step-by-step explanation:

For a parabolic equation to NOT contain the point (0,0) it must have a numeric constant independent from both x and y variables, so the general form would be as follows:

[tex]y=2x^{2} +c[/tex]

Solving the equation for the point (1,1) would give the necessary value for the constant "c" to make the equation valid:

[tex]y=2x^{2} +c\\1=2*(1)^{2} +c\\c = 1 -2 = -1[/tex]

Therefore, the equation that meets both of the required conditions is:

[tex]y=2x^{2} -1[/tex]

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