ashpol1634 ashpol1634
  • 16-03-2022
  • Mathematics
contestada

The parabola y=x^2 is shifted down by 6 units and to the right by 5 units. What is the equation of the new parabola

Respuesta :

lpina68 lpina68
  • 16-03-2022

Answer:

y = (x - 5)^2 - 6

Step-by-step explanation:

If you slide a parabola up or down, that translation will show up in the equation just tacked on to the end of the equation. Down 6 will be a MINUS 6.

A horizontal shift will show up in the equation tucked in close to the x in a set of parenthesis. BUT it will look less intuitive...a right shift will be a MINUS.

Untransformed:

y = x^2

Shift down 6:

y = x^2 - 6

Shift right 5:

y = (x - 5)^2

Down6 AND Right5:

y = (x - 5)^2 - 6

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