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pav-90 [236]
3 years ago
5

A point with a positive x-coordinate and a negative y-coordinate is reflected over y-axis. Which sentence describes the coordina

tes of the new point?
A: The x-coordinate is negative, and the y-coordinate is negative

B: The x-coordinate is positive, and the y-coordinate is positive

C: The x-coordinate is negative, and the y-coordinate is positive

D: The x-coordinate is negative, and the y-coordinate is negative​
Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0

Answer:D

If you need an explanation just message me back :)

Harrizon [31]3 years ago
6 0

The answer is D I hope this helps you

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Answer: i) f(-9)= 66

ii) f(x+1)=x^2+4x+6.

iii) f(-x)=x^2-2x+3

Step-by-step explanation:

The given function : f(x)=x^2+2x+3.

i) For f(-9) , the independent variable is x= -9.

Put x= -9 in given function , we get

f(-9)=(-9)^2+2(-9)+3

=81-18+3=66

Thus ,  f(-9)= 66

ii) For f(x+1) , the independent variable is x= x+1.

Replace x  by x+1 in given function , we get

f(x+1)=(x+1)^2+2(x+1)+3.

=(x^2+1+2x)+2x+2+3  [\because\ (a+b)^2=(a^2+b^2+2ab)]

=x^2+1+2x+2x+5

=x^2+4x+6

Thus ,  f(x+1)=x^2+4x+6.

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Replace x  by -x in given function , we get

f(-x)=(-x)^2+2(-x)+3.

=x^2-2x+3  [∵ (+)(-)=(-)]

Thus , f(-x)=x^2-2x+3

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