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)

the focus of the parabola is:

Step-by-step explanation:

we will convert this given equation of the parabola into the general parabola equation of the type

on converting the given equation of the type into general equation of parabola we get that

clearly here vertex=(h,k)=(1,-4) and

so focus=(h,k+a)

hence the given parabola has focus:

answer: i believe c. is the answer sorry if i am wrong

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.