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Romashka [77]
3 years ago
5

Find the length of the segment with endpoints of (3,2) and (-3,-6).

Mathematics
1 answer:
frez [133]3 years ago
3 0
The distance between two points is given by
√((x₂₋x₁)² + (y₂-y₁)²)

√ ((-3-3)² + (-6-2)²)
= √ ((-6)² + (-8)²)
= √ (36 + 64)
= √ 100
= 10
The distance is 10


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Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:
klasskru [66]

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Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

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x=3

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

f(x)=x^2

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

y = f(x) = (x - 3)^2 + 2

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

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This is so because, for any function:

y=f(x)

We have the following transformations:

y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is x=3. The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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