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Tanya [424]
4 years ago
11

The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents g(x)?

Mathematics
2 answers:
pickupchik [31]4 years ago
8 0

Answer:

It would be Option: A on Edge.

Step-by-step explanation:

cupoosta [38]4 years ago
5 0

Answer:

See attached picture

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.

The equation for g has also been subtracted outside the parenthesis by 3 which will shift the  graph 3 units down.

The graph is shown in black while f(x) is show in purple in the attached picture.

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How do you do this question?
mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}

Graph: desmos.com/calculator/mezlen9hb4

3 0
4 years ago
(01.04 LC)Multiply (-1/3)(1/4)
pashok25 [27]

Answer:

D: -1/12

Step-by-step explanation:

4 0
3 years ago
Help m.e please please
Veseljchak [2.6K]

Answer:

(0, 2)

Step-by-step explanation:

Both the lines are intersecting each other at point (0, 2)

So, the solution to the system of equations would be (0, 2)

Hope it helps you in your learning process

4 0
3 years ago
Read 2 more answers
Could someone please help? They don’t need to be solved I just need help with the translating.
Lorico [155]

Answer:

I won't solve i'll translate like you asked

Step-by-step explanation:

13) x - 5 = 21

14) 12 × y = 48

15) b + 10 = 13

If you want I can solve.

HOPE THIS HELPED

5 0
3 years ago
Find the inverse of y = 3x^2 - 5
Zinaida [17]

Answer:

x = y+5/3

IF ITS WRONG IM SO SORRY !!!

4 0
3 years ago
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