1) For each of these, keep in mind vertex form: f(x)=a(x-h)^2+k. With vertex form, a is the direction and width, h is the horizontal placement of the vertex, and k is the vertical placement. For the first one, notice that "a" is positive 1, so it faces up. This means that D, the one facing down, cannot be the answer. "h" is 1, so we will move the vertex to the right one unit (keep in mind (x-h), so if it were to be (h+3) you would move it to the left, not the right). "k" is -3, so we would move the vertex down 3 units. That said, the vertex should be at (1,-3) so the answer is C, or the one right below the first one.
2) The graph of f(x)=|2x| translated 5 units to the left means that h is equal to -5. When we plug -5 into vertex form, it should look like: g(x)=|2(x+5)|. The answer to this is A.
3) The equation for reflection on the x axis is f(x)=-a(x-h)+k. So, if the parent function f(x)=4|x| were to be reflected on the x axis, the function would look like this: g(x)=-4|x|. The answer to this should be B.
4) Since h=1 and k=0 in the function f(x)=-3|x-1|, the vertex will be (1,0).
5) This can also be written as g(x)=|x|-3. This means that k=-3, and will be a vertical translation of 3 units down.
Answer:
x = 3, v = -8
Step-by-step explanation:
Substitute x.
[5 • = -73 - 11v]
Isolate v.
5 = -73 - 11v
v = -8
Substitute v.
x = 
x = 3
Answer:
544 cm²
Step-by-step explanation:
hello,
to find the tsa of a rectangular prism, you use:
tsa = 2 ( lw + lh + wh )
in this case, l = 16 cm, w = 6 cm and h = 8 cm.
knowing these informations, you can proceed with using the formula.
tsa = 2 [ ( 16*6) + ( 16*8 ) + ( 6*8) ]
= 2 [ 96 + 128 + 48 ]
= 2 ( 272 )
= 544 cm²
please try to understand how i worked this out, and do let me know if you have any questions.
have a great day! thank you!
Answer:
6.45
Step-by-step explanation:
6.9-6.0=0.9
0.9÷2=0.45+6=6.45
This is the middle between 18 and 21.
Hope this helps and give brainliest, thank me and rate it 5 please. :)
Answer:
17
Step-by-step explanation:
2 sqrt(81) -1
We know the sqrt(81) = 9
2*9 -1
18-1
17
