Write the virtud for a parabola that satisfies the condition given. Then write the equation in the form y=ax^2+bc+c. Vertex (3,1) and a=3 write the equation in the form y=ax^2+bx+c

y = 3 (x - 3) ^2 + 1 y = 3x^2 - 18x + 28

Step-by-step explanation:

For vertex (h, k) and vertical scale factor "a", the vertex form of the equation of a parabola is ...

y = a (x - h) ^2 + k

For (h, k) = (3, 1) and a = 3, the equation in vertex form is ...

y = 3 (x - 3) ^2 + 1

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Expanding this gives the equation in standard form.

y = 3 (x^2 - 6x + 9) + 1

y = 3x^2 - 18x + 28