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garik1379 [7]
3 years ago
10

Identify the vertex and y-intercept of the graph of the function y = (x + 2) − 3. Use the drop-down menus to show your answer.

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

Was the function typed incorrectly?  Should it be y = (x + 2)^{2} - 3?

Step-by-step explanation:

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QUESTION A

The given inequality is  

x-1\:>\:5

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x\:>\:5+1

x\:>\:6

Answer: 2. x\:>\:6, open dot at 6 and shaded to the right.(A)

QUESTION B.

The given inequality is 2x \le 6.

Divide both sides by 2;

x \le \frac{6}{2}.

x \le 3.

Answer: 5. x \le 3, closed dot at 3 and shaded to the left(B).

QUESTION C

The given inequality is x-7\:>\:-4

Add 7 to both sides to get;

x\:>\:-4+7

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Answer: 7. x\:>\:3, open dot at 3 and shaded to the right.(C)

QUESTION D

We want to solve;

-2x \:

Divide through by -2 and reverse the inequality sign;

x \:>\:\frac{6}{-2}

x \:>\:-3

Answer; 3. x \:>\:-3 Open dot at -3 and shaded to the right. (D)

QUESTION E

We have  

4\:

Divide through by -4 and reverse the sign.

\frac{4}{-4}\:>\:x

-1\:>\:x

or

x\:

Answer: 6. x\: open dot at -1, and shaded to the left(E)

QUESTION F

The given inequality is -2x+3\:

Add -3 to both sides to get;

-2x\:

-2x\:

Divide both sides of the inequality by -2 and reverse the sign;

x\:>\:5

Answer:9. x\:>\:5, open dot at 5 and shaded to the right(F)

QUESTION G

The given  inequality is

5x+1\ge11

5x\ge11-1

5x\ge10

Divide by 5

x\ge2

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QUESTION H

We have 3(x+4)\:>\:8x-6

Expand the bracket to get;

3x+12\:>\:8x-6

Group similar terms to get;

3x-8x\:>\:-6-12

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-5x\:>\:-18

Divide through by -5 and reverse the sign;

x\:

Answer: 1. x\: Open dot at 18/5 and shaded to the left(H)

QUESTION I

We have -3x+4\:.

-3x+x\:

-2x\:

Divide by -2 and reverse the sign;

x\:>\:1

Answer: 8. x\:>\:1, open dot at 1 and shaded  to the right(I)

J. The given inequality -2(x-4)\:>\:5-(x+2)

Expand the bracket to get;

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Group like terms to get;

-2x+x\:>\:5-2-8

-x\:>\:-5

Divide by -1 and reverse the sign to get;

x\:

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Answer:

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