Answer:
The absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).
Step-by-step explanation:
Considering the absolute value equation
To find the x coordinate of the vertex, set the inside of the absolute value 
equal to zero.
In this case,
Replace the variable x with 5 back into the equation and solve for y.
Therefore, the absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).
Keywords: absolute value function, vertex
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Answer:
D. all real numbers
Step-by-step explanation:
The domain is all the x's on a graph or that are permitted in an equation (if you have an equation instead of a graph)
If there is nothing on the graph to indicate the graph is a segment (endpoints that are either closed or open) or has other holes in it (literally a point on the line that is open) then the domain for a linear function (a line) is always all real numbers. The same is true for all of the above for the range as well, except the range is all the y's
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
The answer to your question is option d as x is positive ( making it open up), and the vertex is (-3,-4)
