Which is the equation of the parabola? coordinate plane with a parabola facing up with vertex at 4 comma 2, the point 4 comma 6 and a horizontal line going through 0 comma negative 2

y = one sixteenth(x − 4)2 + 2
y = one sixteenth(x + 4)2 − 2
y = −one sixteenth(x − 2)2 + 4
y = −one sixteenth(x + 2)2 − 4

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

for the free

a long term investor

step-by-step explanation:

because he is a long term investor