Mathematics: 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)

What is the focus of the parabola given by the equation

miagiancarlo

10.03.2022

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: $(1,\frac{-15}{4})$

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alissa64

20.05.2023

Here

Obtained marks=16

Full marks =20

Now,

Persent=Obtained marks/Full marks*100%

=16/20*100%

=80%

Step-by-step explanation:

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