shaunhernandez shaunhernandez
  • 19-07-2017
  • Mathematics
contestada

Graph y=3x^2 -5 and it's inverse

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zrh2sfo
zrh2sfo zrh2sfo
  • 19-07-2017
Graph y=3x^2 -5 and it's inverse.
Ver imagen zrh2sfo
Ver imagen zrh2sfo
Answer Link
calculista
calculista calculista
  • 05-02-2019

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=3x^{2}-5[/tex] -----> quadratic equation of a vertical parabola open upward

Find the inverse function

Exchange variables x for y and y for x

[tex]x=3y^{2}-5[/tex]

Isolate the variable y

[tex]3y^{2}=x+5[/tex]  -----> inverse function (horizontal parabola open to the right)

or

[tex]y=(+/-)\sqrt{\frac{x+5}{3}}[/tex]

using a graphing tool

see the attached figure


Ver imagen calculista
Answer Link

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