Answer:
<h2><em>y = |x - 5| + 2</em></h2>
Step-by-step explanation:
f(x) + n - <em>shift up n units</em>
f(x) - n - <em>shift down n units</em>
f(x + n) - <em>shift left n units</em>
f(x - n) - <em>shift right n units</em>
f(-x) -<em> reflect about the y-axis</em>
-f(x) - <em>reflect about the x-axis</em>
<em />
<em>The graph of the function </em><em>y = |x| </em><em>has a vertex in the origin </em><em>(0, 0).</em>
<em>The vertex of the given graph is in the point </em><em>(5, 2) - </em>incorrectly marked coordinates on the graph (2, 5).
<h3>
Conclusion:</h3>
<em>The graph of the function y = |x| has been shifted 5 units to the right and 2 units up.</em>
<em>Therefore:</em>
<em>y = |x - 5| + 2</em>
Permutation: In a race of 10 students, find the number of ways students can finish 1st, 2nd, and 3rd. In this case the order matters, so it is a permutation.
10 x 9 x 8 = 720 ways
Combination: In a class of 10 students, find the number of ways a group of 3 students can be selected to win a prize. In this case the order doesn't matter, so it's a combination.
10 x 9 x 8 / (3 x 2 x 1) = 120 ways
Answer:
4 cm²
Step-by-step explanation:
Area = ½.bh
b = base (cm²)
h = perpendicular height, i.e. BD (cm²)
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ (x + 2)(x + 1)
==> x^2 + x + 2x + 2
This can be simplified to give the answer of:
x^2 + 3x + 2
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
<u>the conclusion</u>
Step-by-step explanation:
The final paragraph of an informational essay or article is called <u>the conclusion</u>.