<u>Step-by-step explanation:</u>
transform the parent graph of f(x) = ln x into f(x) = - ln (x - 4) by shifting the parent graph 4 units to the right and reflecting over the x-axis
(???, 0): 0 = - ln (x - 4)

0 = ln (x - 4)

1 = x - 4
<u> +4 </u> <u> +4 </u>
5 = x
(5, 0)
(???, 1): 1 = - ln (x - 4)

1 = ln (x - 4)

e = x - 4
<u> +4 </u> <u> +4 </u>
e + 4 = x
6.72 = x
(6.72, 1)
Domain: x - 4 > 0
<u> +4 </u> <u>+4 </u>
x > 4
(4, ∞)
Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that
No vertical asymptotes
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transform the parent graph of f(x) = 3ˣ into f(x) = - 3ˣ⁺⁵ by shifting the parent graph 5 units to the left and reflecting over the x-axis
Domain: there is no restriction on x so domain is all real number
(-∞, ∞)
Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0. the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.
(-∞, 0)
Y-intercept is when x = 0:
f(x) = - 3ˣ⁺⁵
= - 3⁰⁺⁵
= - 3⁵
= -243
Horizontal Asymptote: y = 0 <em>(explanation above)</em>
Answer:
The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".
Step-by-step explanation:
In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.
In Pattern A.
5+20+35+50+......
In Pattern B.
10+25+40+55+70+.....
In Pattern C.
15+30+45+60....
In this, pattern option B is correct because it will give 40.
32x^2+64x+12x+21
=> 32x^2+76x+21 you multiply the two equation together and you will get this
Answer:
Step-by-step explanation:
for c- start at 0, go to the left and stop right above the zero. do not put a point. then go down and stop in between -2 and -3. put a point
For D- start at zero. go to the right and stop between the four and the end of the line. Do not put a point. Then go up one box. put a point.
Well, he worked 35 hours
he makes 15.5 per hour in 35 hours will be 15.5 * 35
then he gets a 10% bump from Mr. Davis
so. he really made (15.5 * 35) plus 10% of that, 10% = 10/100 = 0.1
so (15.5 * 35) + (15.5 * 35)(0.01)
then those hourly wages take a bite of 5% from the taxman
subtract 5% of that, 5% = 5/100 = 0.05
so subtract (15.5 * 35)(0.05)
then add Mr. Davis generous bonus, the bonus is not taxable,
the wages, including the 10% increase, ARE taxable