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wel
3 years ago
7

Describe the transformation of the graph y = (x + 3)2 – 4 from the parent function y = x².

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0
The answer is A.  Left 3 and Down 4

You might be interested in
What is the answer to x-1=-5-x
maria [59]

Answer:

x=-2

Step-by-step explanation:

We have the equation x-1=-5-x

In order to solve for x, we need to get all of the x's to one side and everything else to the opposite side

x-1=-5-x

First, we can add 1 to each side

x=-4-x

Now, we can add x to each side

2x=-4

Next, we can divide each side by 2

x=-2

And here is our answer.

8 0
3 years ago
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
Which of the following of x and y would make up the following expression represent a real number? (4+5i)(x+yi)
salantis [7]

Answer:

x = 4 and y = - 5

Step-by-step explanation:

note that the product of a complex number and it's conjugate is real

That is

(a + bi)(a - bi) where a, b are real

= a² - abi + abi - b²i²

= a² + b² ← a real number

For (4 + 5i)(x + yi) to be real

we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i

(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5



8 0
3 years ago
Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.
scoundrel [369]

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

QR = 4

Q'R' = 8

k, is then calculated as:

k = \frac{Q'R'}{QR}

k = \frac{8}{4}

k =2

<em>Hence, QRST is dilated by a factor of 2</em>

3 0
3 years ago
What is the polynomial function of least degree whose only zeros are -3, ,-2, and 4 ?
victus00 [196]

Answer: (x³ - 2x² - 11x + 12)

Step-by-step explanation:

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped! (x³ - 2x² - 11x + 12)

7 0
3 years ago
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