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Artist 52 [7]
3 years ago
13

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 2, reflected ov

er the x-axis, and translated left 1 unit and down 3 units.
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

g(x) = -2|x+1| -3

Step-by-step explanation:

f(x) = |x|

y = f(x) + C C < 0 moves it down

y = |x| -3  for  shifting down 3

y = f(x + C) C > 0 moves it left

y = |x+1| -3 for move it left 1

y = Cf(x)  C > 1 stretches it in the y-direction

y = 2|x+1| -3 to stretch it 2 vertically

y = −f(x)  Reflects it about x-axis

y = -2|x+1| -3

Sonbull [250]3 years ago
6 0

We start off with f(x) = |x|

c < 0 means move down

y = f(x) + c

3 units down

After: y = |x| - 3

c > 0 means move left

y = f(x + c)

1 unit left

After: y = |x + 1| - 3

c > 1 means y direction stretch

y = cf(x)

2 unit stretch

After: y = 2|x + 1| - 3

Reflect across x-axis can be stated as y = -f(x)

After: y = -2|x + 1| - 3

Best of Luck!

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Tju [1.3M]
Be more specific on the first one
3 0
2 years ago
I will give brainiest to whoever answers correctly !!
Salsk061 [2.6K]

Answer:

The interest charged is $7.49.

After 29 days, Travis paid a total of $607.49

Step-by-step explanation:

Travis obtained a cash advance for $600.

The interest rate is 0.04305% per day.

The simple interest rate formula is given by:

I=Prt

Where <em>I</em> is the interest, <em>P</em> is the initial amount, <em>r</em> is the rate, and <em>t</em> is the time (in this case in days).

Our initial amount <em>P</em> is $600.

Our interest rate <em>r</em> is 0.04305% or (moving the decimal two places to the left) 0.0004305.

Since Travis repaid the loan after 29 days, our <em>t</em> is 29.

Hence, our interest is:

I=600(0.0004305)(29)=7.4907

So, the interest charged is about $7.49.

So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49

6 0
3 years ago
Read 2 more answers
Help please!! It would be nice if you could add an explanation, but you don't have to. I just need the answer.
Firlakuza [10]
The answer is B I solved this my self
4 0
2 years ago
Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Sindrei [870]

Answer:

1) D. y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

2) E. The coefficient of x is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}, where n is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10

Correct answer: D

2) Let p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4), we proceed to expand the expression by algebraic means:

p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)

p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4

We see that coefficients for x^{2} and x are -16 and 0, respectively. Hence, the incorrect answer is E.

3 0
3 years ago
Help due today please ​
horsena [70]

Answer:

<em>angle ABD =</em><u><em>55 degree</em></u>

<em>angle BCD= </em><u><em>125 degree</em></u>

Step-by-step explanation:

angle ABD and angle DBC are supplementary angles.

Hence, angle ABD +angle DBC = 180 --equation 1

angle ABD = (2x+15) ---equation 2

angle BCD = (4x+45) ------equation 3

ABD+DBC=180

(2x+15) + ( 4x+45 ) = 180

2x+4x+15+45=180

6x+60=180

6x=180-60

6x=120

x=120/6=20

angle ABD= 2x+15= 2(20) +15

                              =40+15= 55 degree

angle BCD= 4x+45 = 4(20) +45

                                = 80+45= 125 degree

Hence, angle ABD =55 degree

            angle BCD= 125 degree

<em>Hope this helps.</em>

7 0
2 years ago
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