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Hatshy [7]
3 years ago
11

NEED ANSWER ASPA.... PLS HURRY

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
We have that
y=- x^{2} +36

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
y=- x^{2} +36 \\ y-36=- x^{2}

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6

the points are (-6,0)  and (6,0)

see the attached figure 

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Required

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