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nydimaria [60]
3 years ago
11

Which of the following is the graph of y=-(x-2)^3-5

Mathematics
2 answers:
Sophie [7]3 years ago
8 0

Answer:

We are given a function y=f(x) as:

y=f(x)=-(x-2)^3-5

Clearly the function f(x) is a cubic function.

This function could be formed by the transformation of the parent function:

f(x)=x^3

by firstly shifting it to the left by 2 units and then reflecting it across x-axis and then translating it 5 units down.

The graph of the function passes through the point:

(0,3) and (0.29,0).

Also the end behavior of the function is that it tends to infinity when x→ -∞ and y→ -∞ when x→ ∞.

Nata [24]3 years ago
6 0
For this type of problem, go back to basic learning about shift to the right or left, up or down.
then check with desmos.com 

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Triangle PQR lies in the xy-plane, and the coordinates of vertex Q are (2, –3). Triangle PQR is rotated 180° clockwise about the
trasher [3.6K]

Answer:

(2,3)

Step-by-step explanation:

We are given that triangle PQR lies in the xy-plane, and coordinates of Q are (2,-3).

Triangle PQR is rotated 180 degrees clockwise about the origin and then reflected across the y-axis to produce triangle P'Q'R',

We have to find the coordinates of Q'.

The coordinates of Q(2,-3).

180 degree clockwise  rotation about the origin  then transformation rule

(x,y)\rightarrow (-x,-y)

The coordinates (2,-3) change into (-2,3) after 180 degree clockwise rotation about origin.

Reflect across y- axis the transformation rule

(x,y)\rightarrow (-x,y)

Therefore, when reflect across y- axis then the coordinates (-2,3) change into (2,3).

Hence, the coordinates of Q(2,3).

5 0
3 years ago
A new health drink has 130​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg.
Anika [276]
Answer:
58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5

So, this new drink has 58.5 mg of vitamin
4 0
3 years ago
What is a equivalent ratio to 8:9
LenKa [72]

Answer:16:18

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help on this!
marshall27 [118]
That is a 45 45 90 triangle.
The legs of such a triangle equal the hypotenuse divided by the sq root of 2
So each leg equals 125.5 cm divided by <span> <span> <span> 1.4142135624 </span> </span> </span> which equals
<span> <span> <span> 88.7419010389 </span> </span> </span> or to the nearest 100th of a centimeter:
88.74


3 0
3 years ago
Jonathan records how 90 pupils travelled to school on one day and represents this information on the pie chart below.
xeze [42]

Answer:

86.4

Step-by-step explanation:

First adding up all the percentages on the chart you get 360

Then figuring out what 24° of 360 is

You then get 86.4

4 0
2 years ago
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