i have a problem where i have to find the maximum height of a dome with a parabolic curve equation of f(x)= -0.0016xsquared + 75.
the 2nd part is finding the minimum height of the dome if the total length is 250 yards.
please help i have no clue on this
The standard form for a parabola is . You can see that your problem is in this form. Since you have a negative number in front of "a", that makes the parabola flip and it goes down. The highest point will be the vertex, which can be found by in the equation I showed you. That's the x-coordinate.
Does any of this sound familiar or make sense?