<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
Since the directrix is horizontal, use the equation of a parabola that opens left or right.
(y−k)^2 = 4p(x−h)
Find the vertex.
(0,0)
Find the distance from the focus to the vertex.
p = 7
Substitute in the known values for the variables into the equation
(y−k)^2 = 4p(x−h).
(y−0)^2 = 4(7)(x−0)
Simplify.
<em>y^2 = 28x</em>
Considering an inverse proportional relationship, you find k taking a point (x,y), and multiplying the values of x and y.
<h3>What is a proportional relationship?</h3>A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For an inverse relationship, the function is:
.
Then:
k = xy.
Which means that to find k, you take a point (x,y), and multiply the values of x and y.
More can be learned about proportional relationships at brainly.com/question/10424180
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