Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
Answer:
x = 5.
First angle = 20°, Second angle = 85°, Third angle = 75°
Step-by-step explanation:
The first angle of the triangle = (4 x)
The second angle of the triangle = (6x + 55)
The third angle of the triangle = (9x + 30)
By ANGLE SUM PROPERTY of a triangle:
First angle + Second angle + Third angle = 180°
⇒ (4 x) + (6x+55) + (9x+30) = 180°
or, (4x + 6x + 9x) + ( 55 + 30) = 180°
or, 19x = 180 - 85
or, 19 x = 95 ⇒ x = 95 /19 = 5
or, x = 5
Hence, first angle of the triangle = (4 x) = 4 x 5 = 20°
Second angle = ( 6x + 30) = 6(5) + 55 = 85°
Third angle = (9x + 30 = 9(5) + 30 = 75°
Answer:
7. C(N(h))=33hx+460h
8. about $13.94 is the cost
Step-by-step explanation:
7. C(x)=(33x+460)(N(h))=(N(40)h)--C(x)=(33x+460)(40h)--C(x)=1320hx+18400h--simplified to C(N(h))=33hx+460h
8. C(N(10))=33(10)x+460(10)--C(N(10))=330x+4600--4600/330=about13.94
it vertex 
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and 
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