find the equation, (f(x)=a(x-h)^2+k), for a parabola containing point(-1,0) and having(-3,4) as a vertex.what is thestandard form of the equation

Answer 1

Plugging the vertex into the standard equation you get:

f(x)=a(x-(-3))²+4

Simplified:

f(x)=a(x+3)²+4

To find the value for a, plug in the other point given (-1,0) for (x,y)

0=a(-1+3)²+4

Simplified

0=a(2)²+4

0=4a+4

Subtract 4 from both sides

0-4=4a+4-4

Simplified:

-4=4a

Divide by 4

-4/4=4a/4

a=-1

Substituting into the equation: f(x)=-(x+3)²+4