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2 years ago

Describe the transformation of g(x) = -f(x) + 6

Mathematics

1 answer:

alukav5142 [94]2 years ago

3 0

Answer:

Step-by-step explanation:

the "-" sign simply turns everything upside-down. what was above the x-axis is now below it. and vice versa. hence, a reflection over the x-axis.

the "+6" moves then everything up by 6 units. which is a vertical shift up by 6 units.

You might be interested in

The square of a number plus three times the number is 70. find the numbers.

Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

$x^2+3x=70$

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

$x^2+3x-70=0$

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

$x^2+10x-7x-70=0$ and now we will factor by grouping:

$(x^2+10x)-(7x-70)=0$ and factor out what's common:

$x(x+10)-7(x+10)=0$

The factor (x + 10) is common, so we will now factor that out:

$(x+10)(x-7)=0$

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

$(-10)^2+3(-10)=70$ simplifies to

100 - 30 which does in fact equal 70. OR

$(7)^2+3(7)=70$ which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0

3 years ago

Please need help on this one

tekilochka [14]

On which one do you need help with?

4 0

3 years ago

Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff'

Snowcat [4.5K]

Answer:

Step-by-step explanation:

6 0

3 years ago

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 qu

mina [271]

Answer:

-10 points

Step-by-step explanation:

A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?

Let us say Initial number of points = 0

Hence,

He answers 2 incorrectly = 0 - 50 - 50

= -100

He answers 3 correctly =-100 + 30 + 30 + 30

His final score = -100 + 30 + 30 + 30

= -10 points

8 0

3 years ago

Pls help if pls do most important 15 number 20 number 26 number 28 number 30 number 17 number 25 number 22 number 24 number if u

Tamiku [17]

Answer:

Step-by-step explanation:

15. $\frac{cotx+1}{cotx-1} = \frac{cotx+cotx.tanx}{cotx-cotx.tanx} = \frac{cotx(1+tanx)}{cotx(1-tanx)} = \frac{1+tanx}{1-tanx} \\$

16. $\frac{1+cos\alpha }{sin\alpha } = \frac{sin\alpha }{1-cos\alpha }$

$=> (1+cos\alpha )(1-cos\alpha ) = sin^{2} \alpha \\=> 1-cos^{2}\alpha =sin^{2} \alpha \\=> sin^{2}\alpha +cos^{2}\alpha =1\\$

=> The clause is correct

17. Do the same (16)

18. $\frac{sinx}{1-cosx}+\frac{sinx}{1+cosx} = \frac{sinx(1+cosx) + sinx(1-cosx)}{(1+cosx)(1-cosx)} = \frac{sinx + sinx.cosx + sinx - sinx.cosx}{1-cos^{2}x} = \frac{2sinx}{sin^{2}x }= \frac{2}{sinx} = 2cosecx$

19.

$\frac{sinA}{1+cosA} + \frac{1+cosA}{sinA}=\frac{2}{sinA} \\=> \frac{sinA}{1+cosA} + \frac{1+cosA}{sinA} - \frac{2}{sinA} \\ = 0\\=> \frac{sinA}{1+cosA} + (\frac{1+cosA}{sinA} - \frac{2}{sinA} \\) = 0\\=> \frac{sinA}{1+cosA} + \frac{1+cosA-2}{sinA} = 0\\=> \frac{sinA}{1+cosA} +\frac{cosA-1}{sinA} = 0\\=> \frac{sin^{2} A+(cosA-1)(1+cosA)}{(1+cosA)sinA}=0\\=> \frac{sin^{2} A+cos^{2} A-1}{(1+cosA)sinA}=0\\=> \frac{0}{(1+cosA)sinA} =0\\$

=> The clause is correct

20. Do the same (18)

21. Left = $\frac{1}{cosecA+cotA} = \frac{1}{\frac{1}{sinA}+\frac{cosA}{sinA} } = \frac{1}{\frac{1+cosA}{sinA} }= \frac{sinA}{1+cosA}$

Right = $cosecA-cotA = \frac{1}{sinA}-\frac{cosA}{sinA}= \frac{1-cosA}{sinA} \\$

Same with (16) => Left = Right => The clause is correct

22. Do the same (21)

Too long, i'm so lazy :))))

5 0

3 years ago