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finlep [7]
3 years ago
7

If f(x) = 3x and g(x) = 3x + 1 + 6. Describe the transformations from f(x) to g(x).

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0
The parent function for quadratic equations is as followed:

y=a(bx-h)+k

where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.

So going from (3x)^2 to (3x+1)^2+6,

We are shifting 1 to the left and 6 up.

The horizontal shift is in the negative direction because in the equation, h=-1 because:

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

The answer is A.

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lilavasa [31]
\pi /6 is the only acute angle whose sin = 1/2. Therefore, cos (\pi /6) = \sqrt{3} /2
7 0
3 years ago
(7)8 - 6 divided by 2 + (A)3 = 107. What is A?
Hunter-Best [27]

\huge\fbox{Answer ☘}

7(8) - 6 \div 2 + (a)3 = 107 \\ 56 - 3 + 3a = 107 \\ 53 + 3a = 107 \\ 3a = 107 - 53 \\ 3a = 54 \\ a =  \cancel\frac{54}{3}  = 18

hope helpful~

7 0
2 years ago
Please help. Write the equation of the graph. (Do not use spaces. Use ^ to represent exponents. Example 2^3 is 23.)
lana66690 [7]
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3. 
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3. 
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope. 
7 0
3 years ago
What is the expression that is equivalent to 6(3z-2)?
RoseWind [281]

Answer:

18z-12

Step-by-step explanation:

3 0
3 years ago
Altlantic Auditorium has 1500 seats. Tickets were sold for 900 of the seats. for what percent of the seats were tickets sold?
muminat
60%, 900/1500 would be .6 and in terms of percent would be 60.
3 0
3 years ago
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