Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 2 ^ x
g (x) = f (x) + k
if k = 2
then,
the graph of g (x) is shifted vertically 2 units up
Answer:
the graph of g (x) is shifted vertically 2 units up
Answer:
Step-by-step explanation:
So say there are x yellow cubes.
Yellow = x
Blue = 3x
Green = 15x
It doesn't say red so I'm going to assume there are none.
Hey there!
x + 2x - 5 + 6 = 0
1x + 2x - 5 + 6 = 0
3x + 1 = 0
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 = 0 - 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: 0 - 1 because that helps solve for the x-value
0 - 1 = -1
NEW EQUATION: 3x = -1
DIVIDE 3 to BOTH SIDES
3x/3 = -1/3
CANCEL out: 3/3 because that gives you 1
KEEP: -1/3 because it gives you the value of x
SIMPLIFY IT
x = -1/3
Therefore, your answer is: x = - 1/3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
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