Answer:
is shifted 2 units upwards to become
Step-by-step explanation:
Given functions:
On comparing the functions we find out that:
The translation rule for this is given as:
If the function shifts units to the up.
If the function shifts units to the down.
Thus we can see the unit shift from to is 2 units upwards as 2 is being added to function
Answer
Is x equal to negative 2?
Step-by-step explanation:
Answer:
use Pythagoras to find diameter of circle.
use half of diameter as radius to find area of circle.
subtract area of square from area of circle.
the steps are very simple so I didn't want to waste time drawing it out. added a photo outlining each step for you. feel free to ask if you need a step explained
Answer: 126
Step-by-step explanation: substitute c for 41 and simplify
9514 1404 393
Answer:
f(x) = x² +3
Step-by-step explanation:
The transformation
g(x) = a·f((x -c)/b) +d
represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.
You want only an upward shift of 3, so ...
g(x) = f(x) +3
For f(x) = x^2, the shifted function is ...
f(x) = x^2 +3
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Other choices are ...
b. (x -3)^2 = right shift by 3
c. 3x^2 = vertical expansion by a factor of 3
d. (x +3)^2 = left shift by 3