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Generate ordered pairs for each function using the given values for x. Graph the ordered pairs and describe the pattern.

y=-(x^2); x=-2,-1,0,1,2y=(x2); x=2,1, 0, 1, 2 y=(x2); x=2,1, 0, 1, 2

Input

Output

Ordered Pair

x

y

(x, y)

–2

 

 

–1

 

 

0

 

 

1

 

 

2

 

 

 

The graph of this function can best be described as what?

 Jan 17, 2015

Best Answer 

 #1
avatar+23252 
+5

Again, replace x with each of its values:

x = -2   --->   y  =  -[ (-2)² ]  =  -[ 4 ]  =  -4         --->         (-2, -4)

x = -1   --->   y  =  -[ (-1)² ]  =  -[ 1 ]  =  -1         --->         (-2, -1)

Etc.

Connect these points, in order, with a smooth curve, and extend the curve both to the right and to the left.

OK?

If your equation has no exponents on the x-term, it will create a straight line.

If your equation has an exponent of two (and no other exponents -- except for, maybe, one), it will create a parabola.

 Jan 17, 2015
 #1
avatar+23252 
+5
Best Answer

Again, replace x with each of its values:

x = -2   --->   y  =  -[ (-2)² ]  =  -[ 4 ]  =  -4         --->         (-2, -4)

x = -1   --->   y  =  -[ (-1)² ]  =  -[ 1 ]  =  -1         --->         (-2, -1)

Etc.

Connect these points, in order, with a smooth curve, and extend the curve both to the right and to the left.

OK?

If your equation has no exponents on the x-term, it will create a straight line.

If your equation has an exponent of two (and no other exponents -- except for, maybe, one), it will create a parabola.

geno3141 Jan 17, 2015

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