The given function shows imply that the graph g(x) is shifted two units right and three units up.
Option B is correct.
<h3>What is the transformation of a function?</h3>
The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.
From the given information:
Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.
Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.
Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0. We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.
Combining the two transformations, we have:
Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.
Learn more about the transformation of functions here:
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-(-8+5)+(-4+(-7+(-9-5)+3))
-(-8+5)+(-4+(-7+(-14)+3))
-(-8+5)+(-4+(-7-14+3))
-(-8+5)+(-4+(-18))
-(-8+5)+(-4-18)
-(-3)+(-22)
3+(-22)
3-22
19
Answer:
Step-by-step explanation:
You can tell by looking at the form of each equation.
y = tx
This is a straight line that passes through the origin, so it symmetric with respect to the origin.
y = x²+1
This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.
y = x²+x = (x+½)² - ¼
This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.
Can't tell what "y = (1 + x2)3" means. Which terms are exponents?
Answer:
9.5 feet
Step-by-step explanation:
So let's review the equations we need to know.
Circumference= π x d or π x 2r
Since we are solving for r, let's stick with the 2nd one.
Next, plug in the values.
59.66=3.14 x 2r
simplify.
59.66=6.28r
9.5=r
done!
the radius is 9.5 feet!
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
