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dmitriy555 [2]
4 years ago
5

Write the equation of the parabola in vertex form. vertex (3, -2), point (2, 3)

Mathematics
1 answer:
Anna [14]4 years ago
5 0

Answer: y = 5(x - 3)² - 2

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

Vertex form: y = a(x - h)² + k  <em>where (h,k) is the vertex and "a" is the vertical stretch</em>

Given (h, k) = (3, -2) and (x, y) = (2, 3), we can find the a-value.

3 = a(2 - 3)² - 2

3 = a(1) - 2

<u>+2</u>   <u>        +2 </u>

5 = a

Next, input the vertex and the a-value into the vertex equation.

y = 5(x - 3)² - 2

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The volume of the cylinder will be 40.69x ft².

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