Answer:
g(x) = (x + 1)^2 + 3
Step-by-step explanation:
When x is replaced by x - h, it results in a horizontal translation of h units.
When y is replaced by y - k, it results in a vertical translation of k units.
f(x) = x^2 is the original function.
Rewrite it as
y = x^2
To translate it 1 unit left, you need h = -1.
x - h = x - (-1) = x + 1. Replace x with x + 1.
Now you have y = (x + 1)^2.
To translate 3 units up, you have k = 3.
y - k = y - 3. Replace y with y - 3.
y - 3 = (x + 1)^2
Solve for y.
y = (x + 1)^2 + 3
Replace y with g(x).
g(x) = (x + 1)^2 + 3
Answer:
B: The y-intercept is (0,2).
Step-by-step explanation:
See attached graph.
Answer:
4t - 3 > 37t - 50
Step-by-step explanation:
Step 1: 4t - 3 > 37t - 50
<u>-4t -4t</u>
-3 > 33t - 50
<u>+50 + 50</u>
<u>47</u> > <u>33</u>t
33 33
<em>t < 47/33</em>
182 games
24 on each shelf
basicaaly
x shelves is more than or equal to 182 games
1 shelf=24
x times 24>182
divide both sides by 24
x>7 and 4/24
x has to be a whole number since you can't have fractional shelves
you have to have more shelves since less shelves won't allow you to carry all of them
round up
7 and something rounded u is 8
8 shelves (if you are a weird store that has fractional shelves then the answer is 7 and 1/6 shelves)
