Hi



Using the vertex form of a parabola,  where(h,k) is the vertex

Vertex (-2,4) 

 y = a(x+2)^2 + 4 

P​(-6​,0)

0 = 16a+ 4

-4/16 = a  = -.25



, the vertex form of a parabola



As to Standard form (If necessary):

 y =-.25(x^2 + 4x + 4) + 1 =-.25x^2 - x - 1 + 4 = -.25x^2 - x + 3

 

RELATED QUESTIONS

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

Find the rule of a quadratic function whose graph has the given vertex and passes through  (answered by RAY100)

For the following​ problem, find the quadratic function y=f(x) that has the given... (answered by math_tutor2020)

For the following​ problem, find the quadratic function y=f(x) that has the given... (answered by MathLover1)

Find the quadratic function y=f(x) that has the given vertex and whose graph passes... (answered by josgarithmetic)

Find the equation of the quadratic function whose graph passes through the point (-1,3)    (answered by josmiceli)

Find the quadratic function y​=f(x) whose graph has a vertex ​(​-3,​2) and passes  (answered by ewatrrr,MathLover1,ikleyn)

Find the rule of a quadratic function whose graph has the given vertex and passes through  (answered by rothauserc,josmiceli)

Find the quadratic function y​=f(x) whose graph has a vertex ​(-4​,4​) and passes  (answered by MathLover1)