Determine the equation of the parabola whose graph is given below

I would start with the quadratic form:

y = a*(x-b) + c

we need to determine (a,b,c)

from the graph we know two points: (-3,4) and (-2,2)

b stands for the horizontal offset and that is -3 in this case so b=-3

c stands for vertical offset, in this case c = 4

so what's left:

y = a(x+3)^2 + 4

Plug in the point (-2,2):

2 = a(-2+3) + 4 = a + 4 ==> a = -2

so the equation we looked for is:

y = -2(x+3)^2 + 4

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: