Write the equation in vertex form for the quadratic function with vertex (-6,4) and passing through point (-2,12).show your work

y = (x + 6)² + 4

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (- 6, 4 ), hence

y = a(x + 6 )² + 4

To find a substitute (- 2, 12) into the equation

12 = 16a + 4 ( subtract 4 from both sides )

8 = 16a ( divide both sides by 16 )

a = =

y = (x + 6 )² + 4 ← in vertex form

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step-by-step explanation:

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