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IceJOKER [234]
3 years ago
8

Write the quadratic function in vertex form, then identify the vertex

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

vertex = (- 10, - 10 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

h(x) = x² + 20x + 90

add/subtract ( half the coefficient of the x- term )²

h(x) = x² + 2(10)x + 100 - 100 + 90

      = (x + 10)² - 10 ← in vertex form

with (h, k ) = (- 10, - 10 )

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The given numbers ordered from least to greatest is:

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<h3>How to order the numbers from least to greatest?</h3>

First, we need to write all the given numbers in decimal form so we can accurately compare them.

The numbers are:

{4.6, √7, π, 2.8..., √17}

Rewriting all of these in decimal form:

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Now is easier to order these numbers, ordering them from least to greatest we will get:

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