Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 3(x + 1)2 - 2

A.

B.

C.

D.


Answer: A

Mathematics

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Solve the problem.The population of Belson has had an increase of  in the last 50 years. During this same period, the population in Shelton has had an increase of . Which city has had a higher rate of population growth?

A.  in Shelton is greater.
B.  in Belson is greater.
C.  in Shelton is greater.
D.  in Belson is greater.

Mathematics

Write the number in scientific notation.790,000

A. 7.9 × 105 B. 7.9 × 10-6 C. 7.9 × 10-5   D. 7.9 × 106

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Solve the problem.Suppose a cold front is passing through the United States at noon with a shape described by the function  where each unit represents 100 miles.  Missouri is located at  and the positive y-axis points north.N    

src="https://sciemce.com/media/4/ppg__10624191714__f1q96g6.jpg" alt="" style="vertical-align: -4.0px;" /> SSuppose the front moves south 340 miles and west 120 miles and maintains its shape. Give the equation for the new front and plot the new position of the front.

A. y = (x - 1.2)+ 3.4

N
     
S

B. y = - (x + 1.2)- 3.4
N
     
S

C. y = (x - 1.2)- 3.4
N
     
S

D. y = (x + 1.2)- 3.4
N
     
S

Mathematics

Solve the problem.The perimeter of a rectangle is 30 cm. The longer side is 9 cm longer than the shorter side. Find the lengths of the sides.

A. 3, 9 B. 8, 17 C. 3, 12 D. 6, 15

Mathematics