Answer:
B) {8.71}
Step-by-step explanation:
3. l.c.m=28
28×3/7=28×b-7/4
4×3=7(b-7)
12=7b-49
12+49=7b
61=7b
61/7=7b/7
8.71=b
b=8.71.
B. y=-√x-2) +5
C. y=-√x+2) -5
D. y=-√x-5) +2
y = √(x + 5) + 2
Given:
The graph of is
Question:
Which equation represents the new graph?
The Process:
The translation is a form of transformation geometry.
Translation (or shifting): moving a graph on an analytic plane without changing its shape.
In general, given the graph of y = f(x) and v > 0, we obtain the graph of:
That's the vertical shift, nowthe horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:
Therefore, the combination of vertical and horizontal shifts is as follows:
The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.
- - - - - - - - - -
Let's solve the problem.
Initially, the graph of is shifted 2 units up.
Followed by shifting 5 units left.
Thus, the equation that represents the new graph is
The answer is A.
Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation
Answer:
A. .
Step-by-step explanation:
We are given the function .
Now, the function is shifted 2 units up and 5 units to the left.
That is, the function is translated 2 units up and 5 units to the left.
Since, we know,
So, the function translated 2 units up is .
So, the new function translated 5 units left is .
Hence, the equation representing the new function is .