The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?
The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
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