<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>
138c since 1 pound of apples=43c
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since you are given the slope (0.5) and the y-intercept (3), all you have to do is substitute these given values into the equation. Substituting them in you get: y = 0.5x + 3, which is your answer.
Answer:
130 milliliters.
Step-by-step explanation:
a drug has a ratio of 115mg:5ml. This is equivalent to 23mg:1ml. 3g=3000mg, so we divide 3000 by 23 to get 130.434783. That is how many milliliters are needed. We round it to get 130 mL.
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1