Graph the parabola.
y=3(x-2)²+1
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.

Answers

Answer 1
Answer
Vertex:(2,1)
Focus:(2, 13/12)
Axis of symmetry: x=2
Directrix: y=11/12
Graph The Parabola.y=3(x-2)+1Plot Five Points On The Parabola: The Vertex, Two Points To The Left Of
Answer 2

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix  is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

[tex]y = 3(x - 2)^2 + 1[/tex]

A parabola is represented as:

[tex]y = a(x - h)^2 + k[/tex]

Where:

[tex]Vertex = (h,k)[/tex]

So, by comparison; the vertex of the function is:

[tex]Vertex = (2,1)[/tex]

To plot two points to the right, we select x values greater than 2.

Let: [tex]x = 3[/tex]

So, we have:

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(3 - 2)^2 + 1[/tex]

[tex]y = 4[/tex]

Let [tex]x = 4[/tex]

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(4 - 2)^2 + 1[/tex]

[tex]y =13[/tex]

To plot two points to the left, we select x values less than 2.

Let: [tex]x=1[/tex]

So, we have:

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(1 - 2)^2 + 1[/tex]

[tex]y = 4[/tex]

Let [tex]x = 0[/tex]

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(0 - 2)^2 + 1[/tex]

[tex]y =13[/tex]

In conclusion:

The vertex of the parabola is (2,1)The two points on the right are (3,4) and (4,13)The two points on the left are (1,4) and (0,13)

See attachment for graph

Read more about parabola at:

https://brainly.com/question/20333425

Graph The Parabola.y=3(x-2)+1Plot Five Points On The Parabola: The Vertex, Two Points To The Left Of

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Answers

Answer: After 6 Months Casey would have paid $450 at either gym.

Step-by-step explanation:

Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:

35x + 240 = 75x (the 1st gym with a joining fee $240 and 35 monthly equals $75 monthly)

Subtract 35x from both sides:

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And you'll be spending $450 in total.

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Answers

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Answers

Answer:

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Answer:

The median is -3.5

Step-by-step explanation:

hope this helps

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Answers

u = ⟨-2, 6⟩

v = ⟨3, 2⟩

w = ⟨-1, 4⟩

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Answers

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Answers

Answer:

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Step-by-step explanation:

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So that;

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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