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Free_Kalibri [48]
3 years ago
13

What transformation takes the graph of g(x) = x2 – 5 to the graph of h (x) = x² – 1

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

We need the following translation: h(x) = g(x) +4

Step-by-step explanation:

To transform g(x) into h(x), we need must apply the following translation:

h(x) = g(x) +4 (1)

If we know that g(x) = x^{2} -5, then the expression of h(x) is:

h(x) = x^{2}-5 +4

h(x) = x^{2}-1 (2)

Which demonstrates the affirmation.

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check
Kisachek [45]
<h3>1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication.  TRUE</h3><h3>5. The final simplified product is  -28x^2 + 8x - 8 FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

Now, let us first solve the given expression step wise:

F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

Now, here the given statements are:

1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication.  TRUE

5. The final simplified product is  -28x^2 + 8x - 8 FALSE

As the simplified expression is: (-32x^2 +8x -8)

7 0
3 years ago
a homework assignment included 40 multiple choice questions Sabrina completed 65% of her assignment in David completed 4/5 of hi
bazaltina [42]

Answer:

6 or -6

Step-by-step explanation:

  1. 65% of 40=26
  2. 4/5 of 40=32
  3. 32-26=6
  4. (or if you start with 26)
  5. 26-32=-6
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Answer:it is

Step-by-step explanation:

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The answer would be x=15
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The answer should be 7/10!
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