The equation of parabola in vertex form is y=-3(x+2)^2+6
What is parabola and equation of parabola in vertex form?
Parabola is equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
The equation of parabola in vertex form is
y=a(x-h)^2+k
Given the vertex (-2,6) and (-1,3)
h=-2 and k=6
y=a〖(x+2)〗^2+6
To find the value of a at vertex (-1,3)
Put y = 3 and x = -1
3=a(-1+2)^2+6
3=a+6
a=-3
The equation of parabola is given by y=-3(x+2)^2+6
To know more about equation of parabola, visit:
brainly.com/question/15165354
#SPJ9