Write the equation of the parabola that has the vertex at point (−0.5, 2.3) and passes through the point (5, 2.75).

The vertex form of equation of a parabola:

(h, k) - vertex

We have the vertex (-0.5, 2.3). Therefore h = -0.5 and k = 2.3.

Substitute:

We have the point (5, 2.75). Put the coordinstes of the point to the equation of parabola:

this is a very good question

step-by-step explanation:

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)