Considering the equation of the parabola, it is found that it's directrix is given by:
y = -2.5.
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
The directrix is at y = k + 4a.
In this problem, the equation is given by:
[tex]y = \frac{1}{8}(x - 2)^2 - 3[/tex]
The coefficients are a = 1/8 = 0.125, h = 2, k = -3, hence the directrix is given by:
y = -3 + 4 x 0.125 = -3 + 0.5 = -2.5.
More can be learned about the equation of a parabola at https://brainly.com/question/26790601
#SPJ1
Answer:
y= -5
Step-by-step explanation:
rewrite equation in standard form )[tex]4.2(y-(-3)=(x-2)^{2}[/tex]
(h,K) = (2,-3), P=2
Parabola is symmetric around y-axis and so directrix is a line parallel to the x axis, a distance -p form the center (2,-3) coordinate.
y= -3-p
y=-3-2
refine y= -5
