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

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) (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.
standard form with center (h,k).
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.
RELATED QUESTIONS
If a quadratic function has is written in standard form (y=ax^2+bx+c)and it has a vertex... (answered by josgarithmetic)

Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)

a quadratic graph has maximum point (2,5) and passes through point (0,-3). Find the... (answered by Fombitz)

The graph of a quadratic function has x intercepts -2 and -7 and passes through the point (answered by jim_thompson5910)

If a quadratic function has its vertex at point (2,8) and the function passes through... (answered by Edwin McCravy)

A quadratic function has an axis of symmetry of x=4, a y-intercept of 33 and also passes... (answered by Edwin McCravy)

Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 3 and passes... (answered by stanbon)

Determine the quadratic function f whose vertex is (1,-3) and passes through (2,-1).... (answered by lwsshak3)

Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes... (answered by lwsshak3)