Max packs cereal boxes into a larger box. The volume of each cereal box is 175 cubic inches. Whats the best estimate for the vol
2 answers:
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To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c.
We are given two different solutions of the equation.
First, (2, 0).
Second, (0, 14).
So we have a value (14) for c. We can substitute that into our first equation to find b.
We can now plug in our values for b and c into the equation to get its standard form.
To find the vertex, we can convert this equation to vertex form
by completing the square.
Thus, the vertex is (4.5, –6.25).
We can confirm the solution graphically (see attachment).
We are given two different solutions of the equation.
First, (2, 0).
Second, (0, 14).
So we have a value (14) for c. We can substitute that into our first equation to find b.
We can now plug in our values for b and c into the equation to get its standard form.
To find the vertex, we can convert this equation to vertex form
Thus, the vertex is (4.5, –6.25).
We can confirm the solution graphically (see attachment).