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omeli [17]
4 years ago
8

Which equation would shift the parabola down 3 units? A) y = x2 B) y = x2 - 3 C) y = x2 + 3 D) y = (x + 3)2

Mathematics
2 answers:
OleMash [197]4 years ago
8 0

Answer

x^2-3

Step-by-step explanation:


stealth61 [152]4 years ago
7 0

Answer:

B) y = x2 - 3

Step-by-step explanation:

Suppose you have a function y = f(x), you can do these following operations on the function:

Shift up a units: y = f(x) + a

Shift down a units: y = f(x) - a

Shift left a units: y = f(x + a)

Shift right a units: y = f(x - a)

So the correct answer for this question is:

B) y = x2 - 3

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The greatest common factor of the terms in the polynomial \rm 8x^4 - 4x^3 - 18x^2 is \rm 2x^2.

Given

Polynomial; \rm 8x^4 - 4x^3 - 18x^2

<h3>Greatest common factor;</h3>

The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).

The polynomial is;

\rm 8x^4 - 4x^3 - 18x^2

The coefficients of the terms in this expression are 8, 4, and 18.

The largest number that you can divide all of them with and get a whole number is 2.

So, 2 is part of our greatest common factor.

The exponent of the smallest x term is 2, so x^2 is the other part of our greatest common factor.

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To know more about Greatest common factor click the link given below.

brainly.com/question/3256580

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Bill wants to be at school at 8:05 A.M. It takes him 20 minutes to walk to school. At what time should bill leave his house
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ILL MARK BRAINIEST IF YOU CAN DO THIS!!! Please do both!
charle [14.2K]

Answer:

11. D

12. $7,000

Step-by-step explanation:

For the first one, $.10 is added for every mile over 50. So if someone drives 51 miles, $.10 will be added. If they drive 52 miles, $.20 will be added. In the last of the options, the initial $100 is added to the $.10 multiplied by x - 50. x represents the number of miles that he drove. x - 50 is the number of 0.10 dollars that are added to the $100.

For the second question, her sales were over $3,500, so we're looking at the second slot in the table.

The equation E = $2,500 + 0.1s + 0.2(s - 3500) tells us that her total earnings are $2,500 plus 10% of her sales plus 20% of her sales minus 20% of 3500.

To solve for s:

E = $2,500 + 0.1s + 0.2(s - 3500)

Distribute 0.2 over the terms in parentheses.

E = 2,500 + 0.1s + 0.2s - 700

Then, combine like terms.

E = 1800 + 0.3s

We know her earnings were $3,900 so we can substitute that into the equation.

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Subtract 1800 from both sides.

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Divide both sides by 0.3

7000 = s

So s, the value of her total monthly sales, is $7,000

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3 years ago
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