the cost of the chocolate bars are in the table. which expression can be used to find of n candy bars?
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ANSWER
The maximum value is 625
EXPLANATION
The height of the stick that the bird dropped is modeled by the function;
This function is already in the vertex form.
Let me rewrite it clearly for you to see.
When we compare this to;
we have h=0 and k=625.
k=625 is the y-value of the vertex.
This is the maximum value on the graph of this function.
The vertical distance can be found by subtracting parabola from the given line.
Given line equation is y= x+20
Equation of parabola is y= x^2
Subtract parabola from line equation
so y =
y =
Now we take derivative to find out the maximum that is the vertex
y' = -2x + 1
Now we set derivative =0 and solve for x
0 = -2x+1
2x = 1
Now we plug in x values in
Take common denominator
So our maximum vertical distance is at