SOLUTION: Write and equation in standard form, factores form, and vertex form for a parabola with a vertex of (6,-15.2) x-intercepts: (2,0) and (10,0)

Question 1001381: Write and equation in standard form, factores form, and vertex form for a parabola with a vertex of (6,-15.2)
x-intercepts: (2,0) and (10,0)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Make a plan for what to do. One possible plan could be this:

(1) Use factored form according to the x-intercepts but keep the constant factor, "a", as variable.
(2) Solve the equation for the factor "a", and substitute the vertex coordinates to find the value of "a".
(3) Express the completed equation in factored form.
(4) Write in standard form according to the known vertex (already given) and now known factor, "a". Understand, STANDARD FORM is the same as VERTEX FORM.

You could instead simply do this, for a different plan:

and then

use either of the x-intercepts

and you have the standard form equation as . Getting factored form from this may be more difficult than using the plan described first, above.
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