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BartSMP [9]
3 years ago
7

For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: use the vertex/ax

is of symmetry formula for x. Show all work algebraically to earn full credit and use Desmos only to check your answer
Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Step-by-step explanation:

y = -2x² + 4x + 1

Complete the square.

y = -2 (x² − 2x) + 1

y = -2 (x² − 2x + 1) + 1 − (-2)(1)

y = -2 (x − 1)² + 3

The vertex is (1, 3).  The leading coefficient is negative, so the vertex is a maximum.

Graph: desmos.com/calculator/qsih3rd8ev

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
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3 years ago
Find the Volume. Use pi=3.14. Round to the nearest hundredth.
aleksandr82 [10.1K]
<h2>Volume = 4.19 inches³</h2>

<u>Step-by-step explanation:</u>

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Step-by-step explanation:

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