The sum of 225 consecutive positive integers only has digits 1 or 0. What is the smallest possible value of the sum?
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Answer: See the graph attached.
Step-by-step explanation:
The standard form of a quadratic function is:
Where (h,k) is the vertex of the parabola.
If is negative, then the parabola opens down.
Then, for the function:
You can identify:
Then the vertex of the parabola is at (2,4)
Note that , therefore the parabola opens down.
Find the intersection with the x-axis. Substitute and solve for x:
Knowing that the vertex is at (2,4), the parabola opens down and it intersects the x-axis at x=0 and x=4, you can graph the function, as you observe in the figure attached.
