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3 years ago

How do you know if a vertex is a minimum or maximum

1 answer:

7 0

If the parabola looks like an “n,” your vertex will be a maximum. If the parabola looks like a “u,” the vertex will be a minimum.

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3 years ago

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What is 7-(-19)-18(-19)+18

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386

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2 years ago

Jennifer has the scatterplot shown for her data set, where water is measured in ounces, and is trying to describe the line of be

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2 years ago

Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′.

andreev551 [17]

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

$\mathbf{L = (1,1)}$

$\mathbf{M = (1,7)}$

$\mathbf{N = (3,6)}$

The rule of 180-degree rotation is:

$\mathbf{(x,y) \to (-x,-y)}$

So, we have:

$\mathbf{L' = (-1,-1)}$

$\mathbf{M' = (-1,-7)}$

$\mathbf{N' = (-3,-6)}$

See attachment for the graphs of LMN and L'M'N

(a) Describe the transformation

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

(b) Lines LL' and MM'

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

(c) Line NN'

Line NN' will assume the same characteristics as lines LL' and MM'