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Answer:

Answer is in attachment

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View image Jfle3587

Answer:  (6, 16)

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Explanation:

The given equation is in the format y = ax^2 + bx+c

We have a = 2, b = -24, c = 88

The vertex is of the form (h,k)

h = -b/(2a)

h = -(-24)/(2*2)

h = 6

Plug this as the x value back into the original equation to find the y coordinate of the vertex. This would be the value of k.

y = 2x^2 - 24x + 88

y = 2(6)^2 - 24(6) + 88

y = 16

The vertex is located at (h,k) = (6, 16)

This is the lowest part of the parabola because it opens upward (note that a > 0).

The answer can be visually confirmed by using Desmos as shown in the screenshot below.

View image Jimthompson5910
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