avackc545
avackc545 avackc545
  • 06-01-2020
  • Mathematics
contestada

What is the equation, in standard form, of a parabola that models the values in the table?

What is the equation in standard form of a parabola that models the values in the table class=

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smenakhan827
smenakhan827 smenakhan827
  • 06-01-2020

Using the values in the table you can easily use the provided x-values to plug into any equation to get a corresponding f(x) value. When applying this to the 4 functions, we see that only the second answer choice will give the exact same outputs when the inputs are plugged in from the table.

[tex]4x^2+3x-6[/tex]

[tex]x=-2\\f(-2)=4(-2)^2+3(-2)-6\\f(-2)=4[/tex]

[tex]x=0\\f(0)=4(0)^2+3(0)-6\\f(0)=-6[/tex]

[tex]x=4\\f(4)=4(4)^2+3(4)-6\\f(4)=70[/tex]

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