SOLUTION: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13).
Give the equation in standard form y = ax2 + bx + c.
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Question 597868: What is the equation of the parabola with a vertex (-3,5) and passes through the point (-1,13).
Give the equation in standard form y = ax2 + bx + c.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If a parabola has a vertex at (-3, 5) and passes through (-1, 13), then by symmetry, it must also pass through (-5, 13).
If it passes through the point (-3, 5), then
^2\ +\ b(-3)\ +\ c\ =\ 5)
Likewise:
^2\ +\ b(-1)\ +\ c\ =\ 13)
and
^2\ +\ b(-5)\ +\ c\ =\ 13)
Giving the following 3X3 system:
Solve the 3X3 system for the ordered triple )
to determine your coefficients for the function:
\ =\ ax^2\ +\ bx\ + c)
John
My calculator said it, I believe it, that settles it
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