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2 years ago

Please help me asap! Thank you!

Mathematics

1 answer:

blsea [12.9K]2 years ago

3 0

......bruh okay......

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The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

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

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

$f(x) = (x-3)^2$

The function is when moved down 3 units, then

$f(x) = (x-3)^2-3$

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

5 0

3 years ago

What does 2*-2-(3- -2) equal

Dovator [93]

Answer:

The value of the expression 2*-2-(3- -2) is -9.

Step-by-step explanation:

2 x (-2)- (3- -2)

=2 x (-2)- (3+2)

=2 x (-2) -5

= -4-5

=-9

Hope this Helps!!!

Please consider this as brainliest, thanks!!!

8 0

2 years ago

Read 2 more answers

1-tanA÷1+tanA=1-sin2A÷cos2A

Aleksandr-060686 [28]

hope u get it. I've used RHS to prove LHS

7 0

2 years ago

Give the equation of the line with a slope of -7/2 and a y-intercept of - 6

antoniya [11.8K]

Answer:

$y = \frac{ - 7}{2} - 6$

3 0

2 years ago

Pls help me for brainliest answer

Ket [755]

Answer with Step-by-step explanation:

$a)3n + 4 \\ \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ =7 \\ \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\ = 10 \\ \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\ = 13 \\ \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\ = 16 \\ \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\ = 34 \\$

So in this sequence,

1st term = 7

2nd term = 10

3rd term = 13

4th term = 16

10th term = 34

$b)4n - 5 \\ \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\ = - 1 \\ \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ = 3 \\ \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\ = 7 \\ \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\ = 11 \\ \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\ = 35$

In this sequence,

1st term = -1

2nd term = 3

3rd term = 7

4th term = 11

10th term =35

5 0

2 years ago