Question

what is the focus of the parabola given by the equation y = x2 − 2x − 3?
(4,-15/4) (1,4) (1,-4) (1,15/4) (1,-15/4)

Answer 1

Answer:

the focus of the parabola is:$(1,\frac{-15}{4} )$

Step-by-step explanation:

we will convert this given equation of the parabola into the general parabola equation of the type $4a(y-k)=(x-h)^2$

on converting the given equation of the type $y=x^2-2 x-3$ into general equation of parabola we get that $4×\frac{1}{4} (y-(-4))=(x-1)^2$

clearly here vertex=(h,k)=(1,-4) and $a=\frac{1}{4}$

so focus=(h,k+a)

hence the given parabola has focus:$(1,\frac{-15}{4})$

Answer 2

nvm someone answered the question