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Blababa [14]
1 year ago
9

Write an equation for a parabola opening upward, shifted 6 units right, and three units down

Mathematics
1 answer:
jolli1 [7]1 year ago
5 0

y = (x-6)²-3

1) Let's write a transformation described as it is, algebraically speaking.

• opening upward, (a >0)

,

• shifted 6 units right, (-6)

,

• and three units down​ -3

2) Starting from the parent function y=x², then we can write:

y = (x-6)²-3

Notice that the horizontal shift is within the parentheses with a swapped sign. And outside that -3 indicating the vertical shift.

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Question 3
marin [14]

To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

<h3>What is a triangle?</h3>

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

  • Equilateral triangle: It is a type of triangle that is characterized by having all equal sides. Consequently, all the angles of an equilateral triangle are 60º. The equilateral triangle is a regular polygon.
  • Isosceles triangle: It is a type of triangle that is characterized by having two equal sides and one different. Consequently, it also has two equal angles.
  • Scalene triangle: A scalene triangle is one that is characterized by having all its sides and angles unequal, that is, different from each other.

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

Learn more about triangles in: brainly.com/question/2773823

#SPJ1

5 0
2 years ago
Write a paragraph proof.
worty [1.4K]
It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
8 0
3 years ago
Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?​
lesya692 [45]

Answer:

Yes, they are equal because of distributive property

Step-by-step explanation:

6(1 + m) = 6 + 6m

3 0
2 years ago
PLEASE NEED HELP NOW!!!!!!!❤️
alexira [117]

Answer:

A. 2564 cm^2

Step-by-step explanation:

There are two triangles (Which both are the same) and three different rectangles.

1. Let's solve the area of the triangles first!

Formula: bh(1/2)

10(26)(1/2)

130

2. Now, let's multiply by 2 since there's two of them:

130(2) = 260

3. So, we got 260. Let's find the area of the three rectangles!

Formula: bh

Rectangle A: 28(36) = 1008

Rectangle B: 10(36) = 360

Rectangle C: 26(36) = 936

4. Add the area of the triangles and the rectangles!

260 + 1008 + 360 + 936 = 2564

So the surface area is 2564 cm^2

Hope this helps! <3

4 0
3 years ago
Plz i need help :ppppppp
miv72 [106K]

Answer: D

Step-by-step explanation:

Just do 7 x 88 LOL

8 0
3 years ago
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