PLEASE HELP ME I DONT UNDERSTAND... translation (x,y)→(x−6,y+8)
2 answers:
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Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.
Since <em>y</em> is the larger number, it is one more than the smaller number. So:
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
Substitute:
Solve for <em>x</em>. Square:
Simplify:
Subtract one from both sides:
And take the square root of both sides:
Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:
And the larger number is:
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
The given functions are
If f(x) is a parent function, then g(x) can be written in the form of f(x) as
...(1)
The translation is defined as
... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
It means, to get the function g, shift f up by 3 units and to the right by 9 units.