Someone please help <3

zlopas [31]

Step-by-step explanation:

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)

$\frac{0}{-1} = \frac{-ln (x - 4)}{-1}$

0 = ln (x - 4)

$e^{0} = e^{ln (x - 4)}$

1 = x - 4

+4 +4

5 = x

(5, 0)

(???, 1): 1 = - ln (x - 4)

$\frac{0}{-1} = \frac{-ln (x - 4)}{-1}$

1 = ln (x - 4)

$e^{1} = e^{ln (x - 4)}$

e = x - 4

+4 +4

e + 4 = x

6.72 = x

(6.72, 1)

Domain: x - 4 > 0

+4 +4

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 (explanation above)

5 0

3 years ago

Argue whether or not you believe using a sample of students from your school's cafeteria (you recruit the next 100 people to vis

hichkok12 [17]

Answer: A. Representative, since blood types are probably not different among students at the cafeteria compared to the U.S. population, B. Not representative, since students in the cafeteria may eat most of their meals at the cafeteria instead of eating fast food

Step-by-step explanation:

I Hope that this helps! :)

7 0

3 years ago

What is the value of t in the equation t+12=30 ?

masha68 [24]

Simplifying X + 12 = 30
Reorder the terms: 12 + X = 30
Solving 12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
Combine like terms: 30 + -12 = 18 X = 18
Simplifying X = 18

6 0

3 years ago

Read 2 more answers

Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$