SOLUTION: If a quadratic function is written in standard form (y=ax^2+bx+c) and it has a vertex of (3,-5) and passes through the point (5,-4)what is the sum of a, b and c ? Please show all s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If a quadratic function is written in standard form (y=ax^2+bx+c) and it has a vertex of (3,-5) and passes through the point (5,-4)what is the sum of a, b and c ? Please show all s      Log On


   



Question 745665: If a quadratic function is written in standard form (y=ax^2+bx+c) and it has a vertex of (3,-5) and passes through the point (5,-4)what is the sum of a, b and c ? Please show all steps and work and thanks for your help.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You can solve this specifically through equation in standard form. Use the (5,-4) to help find the 'a' value of the equation as written in standard form.
y=a%28x-h%29%5E2%2Bk standard form with center (h,k).
y=a%28x-3%29%5E2-5 initially, and then
let x=5 and y=-4 to find 'a'.

Now, with the complete equation in standard form, just carry through the operations to convert the standard form equation into general form, and directly read the values of 'a', 'b', and 'c'. Do what you need with them.