Using translation concepts, the graph of g(x) is given at the end of the question.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
.
With the changes, we have that:
- f(-x) is the function reflected over the y-axis.
- f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.
Hence the function will be given by:
.
The graph is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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The equation can be rewritten as: Log(x*(x+5))=Log=(6x+12)
so x(x+5)=6x+12
x^2+5x=6x+12
x^2-x-12=0
(x+3)(x-4)=0
x=-3 or x=4
x cannot be negative here, so x=4 is the only solution
Answer:
1) 8 2) 125 3) 1,680 4) 5,040 5) 3,024
Step-by-step explanation:
Hi There!
Solution,
Point Slope Form: y - y1 = m(x - x1)
Now you have a reference equation of what the answer should look like.
By looking at the answer choices you can eliminate A.
Tip: When you have a negative number you are going to add. For Example, if you have -8, you will input x + 8 or y + 8.
Tip 2: When you have a positive number you are going to subtract. For Example, if you have 3 you will input x - 3 or y - 3.
We can eliminate B because its not subtracting 3.
We can also eliminate C because its not adding -8.
The best answer choice is D.
Answer,
y – 3 = 6(x + 8)
I hope you understand, so you can do this in the future on your own.
Hope This Helps :)
Answer:
The length is 2.5 units
Step-by-step explanation:
Before we find the value of the length of the side, we need the measure of the coordinates after dilation
B’ = 1/2 B = 1/2(3,2) = (1.5, 1)
C’ = 1/2 C = 1/2( 0,-2) = (0,-1)
The measure of the length is the distance between the two points
Mathematically, that would be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(0-1.5)^2 + (-1-1)^2
D = √(2.25 + 4)
D = √6.25
D = 2.5 units
