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Jet001 [13]
3 years ago
10

The vertices of a parallelogram are shown below.

Mathematics
1 answer:
OleMash [197]3 years ago
4 0
The vertices for the dilated image can be found by multiplying the coordinates of the original image by the scale factor. In this problem, the scale factor is 1/3.

(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0  ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)

Answer is choice D. (3,10)
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The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form
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Answer:

y = 5 ( x - 3 ) ^2 -2

OR

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Step-by-step explanation:

Vertex form of a parabola is given as:

y = a ( x - h ) ^2 + k

Where (h,k) is the vertex and (x,y) are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

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First of all, putting the vertex in the vertex equation as given above:

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

Now, putting the values of x, y as 2, 3 and let us find the unknown variable a:

3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5

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y = 5 ( x - 3 ) ^2 -2

OR

y+2= 5 ( x - 3 ) ^2

4 0
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Explanation:

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