Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
The answer is D to the next step
Are you are saying that the absolute value of negative six times x equals 54? If you are, then the answer is x equals positive or negative 9. To solve, set up two equations, because it is an absolute value question. In the first equation, write -6x=54. Divide by -6 to get -9. That is just one of two answers. In the second equation, write 6x=54. Divide 54 by 6 to get positive 9. Your answer is positive and negative 9.
The formula to find the amount is
The given function is
Comparing them we get
Subtracting 1 from both sides
Multiplying by 100 on both sides