<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>
Slope intercept form:
y=mx+b
Where:
m= slope ( y variation/ x variation)
b= y-intercept (where the line crosses the y-axis)
By looking at the graph we can see that the line crosses the y-axis at -2.
b=-2
slope = rise/ run= 3/1 = 3
Equation:
y= 3x-2
Answer:
2.25 + 1.50g > 20
Step-by-step explanation:
hope this help
Answer:
x=4-3/x
Step-by-step explanation:
x^2-4x+3=0
x^2-4x=-3
x^2=4x-3
x=4-3/x
Answer:
the product of the given radical is
Step-by-step explanation:
The computation of the product of the given radicals is as follows
According to the question, the following radical is
Now simplify it
Hence, the product of the given radical is
This is the answer but the same is not given in the options