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Masteriza [31]
3 years ago
12

the graph of F(x), shown below in pink, has the same shape as the graph of G(x) = x^2, shown in gray. Which of the following is

the equation for F(x)?

Mathematics
2 answers:
rusak2 [61]3 years ago
7 0
The education is (x-h)^2 + k ands the vertex is (h,k)
valina [46]3 years ago
3 0

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

G(x)=x^2

The gray curve represent the graph of function G(x)

The vertex form of the parabola is

F(x)=a(x-h)^2+k

Where, (h,k) is the vertex and a is stretch factor.

From the given graph is clear that the vertex of F(x) is at point (1,-2) and the stretch factor is 1. So, the function F(x) is defined as

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

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

Therefore the correct option is B.

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Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
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Ira Lisetskai [31]
The correct answer is <span>16666666666/100000000000.</span>
4 0
2 years ago
Read 2 more answers
HELP ASAP PLEASE THX..........................??????
otez555 [7]
Positive product:
(-2/5)(-2/5)
(2/5)(2/5)

negative product:
(-2/5)(2/5)
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6 0
3 years ago
Solve and check: 5 - 6 = -3<br> k
xxTIMURxx [149]

5 - 6 =  - 3k \\  - 1 =  - 3k \\  \frac{1}{3}  = k
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
5 - 6 =  - 3k \\ 5 - 6 =  - 3( \frac{1}{3} ) \\  - 1 =  - 1
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
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3 years ago
Mulitiply: -23x(x+3)
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Answer:

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4 0
2 years ago
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