SOLUTION: Complete the general form equation of the parabola that passes through (3,−73)with vertex at (−2,2)Enter the quadratic expression in general form, ax^2+bx+c.

Question 1126205: Complete the general form equation of the parabola that passes through (3,−73)with vertex at (−2,2)Enter the quadratic expression in general form, ax^2+bx+c.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Same idea as already shown, just with different values.
https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1126203.html
https://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.1126203.html
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
( 3, -73 )

(1)
------------------------------
(-2, 2 )

(2)
--------------------------------
(-2,2 )
The x-value of vertex is at:

Plug this back into (1) and (2)
(1)
(1)
(1)
and
(2)
(2)
(2)
----------------------------------
subtract (2) from (1)

and

and
(2)
(2)
(2)
------------------------------
the equation is:

------------------------------
check:
( 3, -73 )

and
( -2,2 )

OK

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SOLUTION: Complete the general form equation of the parabola that passes through (3,&#8722;73)with vertex at (&#8722;2,2)Enter the quadratic expression in general form, ax^2+bx+c.

SOLUTION: Complete the general form equation of the parabola that passes through (3,−73)with vertex at (−2,2)Enter the quadratic expression in general form, ax^2+bx+c.