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kobusy [5.1K]
3 years ago
12

Choose the function that correctly identifies the transformation of f(x) = x2 shifted two units to the left and one unit down.

Mathematics
2 answers:
AnnZ [28]3 years ago
7 0

Answer:

D) g(x) = (x + 2)^2 - 1



Pachacha [2.7K]3 years ago
4 0

Answer:

D) g(x) = (x + 2)^2 - 1

Step-by-step explanation:

Here g(x) = x^2 is a quadratic function.

The vertex form is f(x) = a(x - h)^2 + k, where "h" represents the horizontal shift and "k" represents the vertical shift.

Here h = -2 and k = -1

Plugging the values, we get

g(x) = (x - (-2))^2 - 1

g(x) = (x + 2)^2 - 1

So the answer is D) g(x) = (x + 2)^2 - 1

Hope this will helpful.

Thank you.

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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Gnom [1K]

Answer:

i would say b

Step-by-step explanation:

6 0
3 years ago
What da answer to 5. and 6? help is needed please plzzzz​
denpristay [2]
5 is 130.48
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7 0
3 years ago
Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r
slamgirl [31]

Will ran the longest

He ran for 56.57 yards, 13.56 yards longer than James.

Step-by-step explanation:

Step 1 :

Will ran the diagonal across a square field measuring 40 yards in each side.

The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]

Hence when the side is 40 yards , the diagonal would be

\sqrt{40^{2} + 40^{2}}  = \sqrt{1600 + 1600}   = \sqrt{3200}  =56.57 yards

So Will ran for 56.57 yards

Step 2 :

James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.

The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.

Hence when the length is 25 yards and width is 35 , the diagonal would be

\sqrt{35^{2} + 25^{2}}  = \sqrt{1225 + 625}} = \sqrt{1850} = 43.01 yards

So James ran for 43.01 yards

Step 3 :

Will ran for 56.57 yards and 43.01 yards.

Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.

5 0
3 years ago
3x+4y+z=-2<br> 2y+3z=-8<br> z=-3
masya89 [10]

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

3 0
3 years ago
Read 2 more answers
How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph
Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

f(x)=x^3

The translation of a function is defined as

g(x)=f(x+a)+b

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

g(x)=f(x+4)+(-2)

g(x)=(x+4)^3-2              [\because f(x)=x^3]

y=(x+4)^3-2

Therefore option B is correct.

8 0
3 years ago
Read 2 more answers
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