SOLUTION: Please explain A parabola has the vertex (8, -35 ) and passes through the point (10, -23 ). Find a function f with this graph. Thank you

Algebra ->  Functions -> SOLUTION: Please explain A parabola has the vertex (8, -35 ) and passes through the point (10, -23 ). Find a function f with this graph. Thank you      Log On


   

Question 906509: Please explain
A parabola has the vertex (8, -35 ) and passes through the point (10, -23 ). Find a function f with this graph.
Thank you
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-h%29%5E2%2Bk----general model for standard form parabola equation.
You have AS GIVEN (h,k)=(8,-35).
Use your known specific point (10,-23) to find the coefficient, "a".

y-k=a%28x-h%29%5E2
highlight_green%28%28y-k%29%2F%28x-h%29%5E2=a%29
a=%28-23-%28-35%29%29%2F%2810-8%29%5E2
a=%2835-23%29%2F4
a=12%2F4
highlight_green%28a=3%29

highlight%28highlight%28y=3%28x-8%29%5E2-35%29%29