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A robot along the surface of the curved pit reaches a ( blank 1) depth of ( blank 2) feet.

Blank 1 ( maximum, minimum, or constant.)

Blank 2 ( -3,-9, 4, or -7)

The equation above for this question is y=0.75x^2 - 13.5x + 57.75

A robot along the surface of the curved pit reaches a ( blank 1) depth of ( blank-example-1

1 Answer

2 votes

Answer: Minimum; -3

Explanation:

I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).

You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2 which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.

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