Respuesta :
Answer:
3 inches depth
Step-by-step explanation:
Given the equation of the parabola is
y = [tex]\frac{1}{8}\times x^{2}+2[/tex]
where x represents the horizontal distance from the maximum depth and y represents the depth of the mirror as measured from the x axis.
We need to find the distance from the center of the parabola which is 7/8 inches in depth from the mirror. Therefore substituting the value of x as 7/8 inches in the above equation, we can get the value of y.
∴y = [tex]\frac{1}{8}\times \left ( \frac{7}{8} \right )^{2}+2[/tex]
y = [tex]\frac{1}{8}\times \left ( \frac{49}{64} \right )+2[/tex]
y = 0.09+2
y = 2.09
y = 3 inches (approx )
