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Sergio039 [100]
3 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:
mrs_skeptik [129]3 years ago
5 0

Answer

x^2-3

Step-by-step explanation:


olga nikolaevna [1]3 years ago
4 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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Step-by-step explanation:

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Which is the best approximation for 60 squared feet
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The best approximation will be 10×6 because six pieces of 10 is 60
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State the horizontal asymptote of the rational function. f(x) = x+9÷x^2+2x+3
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It will look like this

There is no horizontal aseymtope, because it passes through all of possible y

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The image of a point after a –90° rotation about the origin is (–4, 7). What are the coordinates of the preimage?
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3 years ago
A man is building a gazebo and plans to use for the floor two boards that are 8 and three fourths feet ​, four boards that are 1
MakcuM [25]

Answer:

The total number of feet in all the boards is 90 and 5/6 feet

Step-by-step explanation:

First, it is necessary to transform the mixed number into a fraction. This can be made following the next rule:

a\frac{b}{c} = \frac{(a*c) + b}{c}

So, the number 8 and three fourth feet is equal to:

8\frac{3}{4} = \frac{(8*4) + 3}{4} = \frac{35}{3}

That means that we two boards that are 35/3 feet. So, multiplying 2 by 35/3 we get the total feets for the first type of board. That is:

2*\frac{35}{3} = \frac{2*35}{3} =\frac{70}{3}

At the same way, we can calculate the total number of feet for the second and third type of board as:

  • Four boards that are 13 and five eighths feet:

13\frac{5}{8} = \frac{(13*8) + 5}{8} = \frac{109}{8}

4*\frac{109}{8} = \frac{4*109}{8} =\frac{109}{2}

  • Two boards that are 6 one half feet:

6\frac{1}{2} = \frac{(6*2) + 1}{2} = \frac{13}{2}

2*\frac{13}{2} = \frac{2*13}{2} =13

Finally, to find the total number of feet in all the boards, we need to sum the total number of feet for every type as:

\frac{70}{3} +\frac{109}{2} +\frac{13}{1} =\frac{545}{6}

Converting this number to a mixed number we get:

\frac{545}{6} =90\frac{5}{6}

Because, when we divide 545 by 6, we get 90 as a quotient, 5 is the remainder and 6 is the divisor.

3 0
3 years ago
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