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ASHA 777 [7]
3 years ago
8

Write the equation for Axis of Symmetry (AOS) for: y = 2(x – 3)² + 4

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

X=3

Step-by-step explanation:

ikadub [295]3 years ago
5 0

The axis of symmetry is 3 because we already know the value of h and k from vertex equation also known as y=a(x-h)²+k when a≠0

If you want to know the equation of symmetry, it is -b/2a when a ≠ 0

\frac{-b}{2a} But if we want to use this formula, we have to convert the vertex form into standard form.

y=2(x^2-6x+9)+4\\y=2(x^2-6x+9)+13\\y=2x^2-12x+9+13\\y=2x^2-12x+22

Therefore, the standard form of y=2(x-3)²+4 is 2x²-6x+22

We can use the axis of symmetry formula or -b/2a

From the equation, b is -12 and a is 2. Substitute both b and a in the -b/2a

Thus, -(-12)/2(2) = 12/4 = 3 #

Therefore, the axis of symmetry is 3. Using the Axis of Symmetry Formula, -b/2a

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The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months  that is given by :

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We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

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What is the prime factorization of 230
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In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a
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Answer:

The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point, dimensionless.

T(x,y) - Translation vector, dimensionless.

O'(x,y) - Translated point, dimensionless.

If we know that A'(x,y) = (1, -5) and A(x,y) = (4,-2), then the translation vector is:

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T(x,y) = (1,-5)-(4,-2)

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The coordinates of B' and C' are B'(x,y) = (4, -7) and C'(x,y) = (-1, -8), respectively.

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3 years ago
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