The circle below is centered at the point (4,3) and has a radius of length 5.
1 answer:
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Answer:
The translation did not effect the domain
The translation effected the range
Step-by-step explanation:
The given graph represents f(x) = IxI
The domain of f(x) is {x : x ∈ R}, where R is the set of real numbers
The range of f(x) is {y : y ≥ 0}
The graph of g(x) is attached down
g(x) = IxI + 4
The domain of g(x) is {x : x ∈ R}, where R is the set of real numbers
The range of g(x) is {y : y ≥ 4}
The graph of g(x) is the image of the graph of f(x) after translate it 4 units up
∵ The translation is vertically
∴ The domain of f(x) = the domain of g(x)
∵ The domain of f(x) is {x : x ∈ R}
∴ The domain of g(x) is {x : x ∈ R}
∴ The translation did not effect the domain
∵ g(x) = f(x) + 4
∵ The range of f(x) is {y : y ≥ 0}
- Add 4 to the value 0
∴ The range of g(x) is {y : y ≥ 0 + 4}
∴ The range of g(x) is {y : y ≥ 4}
∴ The range of g(x) not equal the range of f(x)
∴ The translation effected the range
Answer:
Second option:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We know that a line goes through the points and
Since the line intersects the y-axis when , then the y-intercept of this line is:
Substitute the y-intercept and coordinates of the point into the equation
and solve for "m":
By definition, the slopes of parallel lines are equal, then the slope of the other line is:
Knowing that it passes through the point , we can substitute values into the equation
and solve for "b":
Therefoe, the equation of this line is:
First, we are going to write it like this:
Then, we are going to do something like factoring, but it's not factoring. An example would be:
If we apply it, we would be left with:
We cancel the common factors, and we are left with:
That's our final answer.
Let me know if you need any more help!
Thanks!
-TetraFish
Then, we are going to do something like factoring, but it's not factoring. An example would be:
If we apply it, we would be left with:
We cancel the common factors, and we are left with:
That's our final answer.
Let me know if you need any more help!
Thanks!
-TetraFish