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ANEK [815]
3 years ago
15

Write y=2x^2+12x+1 in vertex form.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

y = 2(x + 3)^2 - 17.

Step-by-step explanation:

y=2x^2+12x+1

y = 2(x^2 + 6x) + 1

y = 2[( x + 3)^2 - 9] + 1

y = 2(x + 3)^2  - 18 + 1

y = 2(x + 3)^2 - 17.

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2.199 rounded to the nearest whole number
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3 years ago
Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
Lina20 [59]

Answer:

The co-ordinates of Q' is (5,2).

Step-by-step explanation:

Given:

Pre-image point

Q(-7,-6)

To find Image point Q' after following translation.

(x,y)\rightarrow (x+12,y+8)

Solution:

Translation rules:

Horizontal shift:

(x,y)\rightarrow (x+k,y)

when K>0 the point is translated k units to the right.

when K the point is translated k units to the left.

Vertical shift:

(x,y)\rightarrow (x,y+k)

when K>0 the point is translated k units up.

when K the point is translated k units down.

Given translation (x,y)\rightarrow (x+12,y+8) shows the point is shifted 12 units to the right and 8 units up.

The point Q' can be given as:

Q'=(-7+12,-6+8)=(5,2)

So, the co-ordinates of Q' is (5,2). (Answer)

7 0
3 years ago
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finlep [7]
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3 0
3 years ago
Which of the following mean the same as x-intercept?
aleksklad [387]

Answer:

(A), (D), and (E)

Step-by-step explanation:

In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!

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2 years ago
A mug is 2/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug.
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1/6 of the cup is left
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2 years ago
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