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Gnom [1K]
1 year ago
10

The graph of the parent function f(x) = x2 is dashed and the graph of the transformed function g(x) = (x – h)2 is solid. Use the

slider to change the value of h. How does changing the value of h affect the vertex? If h = 3, the vertex shifts to . If h = –5, the vertex shifts to
Mathematics
2 answers:
Tju [1.3M]1 year ago
7 0

Answer:

3,0 and -5,0

Step-by-step explanation:

STALIN [3.7K]1 year ago
3 0
The graph of the parent function f(x<span>) = </span>x2<span> is dashed and the graph of the transformed function </span>g(x) = (x<span> – </span>h)2<span> is solid.

If h=3 the vertex shifts to (3,0). 

If h=-5 the vertex is shifted to (-5,0)

I hope this helps! Sorry no one got back to you in the past few days ):
</span>
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Which of the following is the complete list of roots for polynomial function f(x)=(x^2+6x+8)(x^2+6x+13)?
Phantasy [73]

Equaling the function to zero we have:

(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0

For the first parenthesis we have:

(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0

Therefore the roots are:

x = - 4\\x = - 2

For the second parenthesis we have:

(x ^ 2 + 6x + 13) = 0

By completing squares we have:

x ^ 2 + 6x = -13

x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}

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x = -3 + 2i\\x = -3 - 2i

Answer:

The following is the complete list of roots for polynomial function:

C) -2, -4, -3 + 2i, -3-2i

4 0
2 years ago
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A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi
Len [333]

Given slabs thicknesses 5in, 10in, and 15in.

Therefore,<u> </u><u>ratio of thicknesses in simplest form would be 1:2:3.</u>

Metal 1 thicknesses =  150lbs, 300lbs, 600lbs

Dividing by 150, we get ratio of Metal 1 thicknesses = 1:2:4.

Metal 2 thicknesses = 130lbs, 260lbs, 390lbs.

Dividing by 130, we get ratio of Metal 2 thicknesses =  1:2:3.

Metal 3 thicknesses = 310lbs, 620lbs, 930lbs.

Dividing by 310, we get ratio of Metal 3 thicknesses = 1:2:3.

Metal 4 thicknesses = 140lbs, 280lbs, 420lbs.

Dividing by 140, we get ratio of Metal 4 thicknesses = 1:2:3.

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5 0
2 years ago
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1 year ago
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If a2= 18 and a4= 8, find two possible common ratios. Then, write two sequences lhaving five terms each.
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common ratio = a4/a3 = a3/a2

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Answer: 12 or -12

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Answer:

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