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scZoUnD [109]
3 years ago
14

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

k=6

Step-by-step explanation:

The parabola that opens up and passes through (-3,-3) will have equation,

f(x) =  {x}^{2}  - 12

The parabola the opens up a d passes through (-3,3) will have equation:

g(x) =  {x}^{2}  - 6

We want to determine the value of k, for which,

g(x) = f(x) + k

We rewrite g(x) in terms of f(x) to get:

{x}^{2}  - 6 =  {x}^{2}   - 12 + 6

g(x)  \to({x}^{2}  - 6 )= f(x) \to ({x}^{2}   - 12 )+k  \to6

Therefore;

g(x) = f(x) + 6

Hence k=6

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Jared has a wooden board that is 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 tim
ivann1987 [24]

Answer

Find out the length of the shorter and longer pieces of a board .

To prove

Let us assume that the length of the shorter pieces be x.

As given

Jared has a wooden board that is 11 ft long.

He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.

Than the length of the longer pieces = 4x - 4

Than the equation becomes

x + 4x - 4 = 11

5x = 11 + 4

5x = 15

x = \frac{15}{5}

x = 3 ft

Therefore the length of the shorter pieces be 3 ft .

The length of the longer pieces  = 4x - 4

                                                      = 4 × 3 - 4

                                                      = 12 - 4

                                                      = 8 ft

Therefore the length of the longer pieces be 8 ft .



5 0
3 years ago
Please help. my grade in math is terrible all i want is help please.
joja [24]

Answer:

45 divided by 5 = p

p= 9.

....

8 0
2 years ago
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