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Question 1 of 6
Graph y=x2y=x2 using a table of values.
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A table of values can be used to find the ordered pairs ((xx,,yy)) of points on the parabola.
Start by working out the y-valuesy-values for each x-valuex-value in the table of values.
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
|
|
|
|
|
|
|
Substitute x=-3x=−3 into the given equation.
yy |
== |
((-3−3)2)2 |
Substitute the value of xx |
|
== |
99 |
Simplify |
yy |
== |
99 |
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
99 |
|
|
|
|
|
|
Substitute the rest of the values of xx into the given equation.
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
99 |
44 |
11 |
00 |
11 |
44 |
99 |
Plot the coordinates starting with ((-3−3,,99)).
Draw a parabola using the points.
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Question 2 of 6
Graph y=2x2y=2x2 using a table of values.
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A table of values can be used to find the ordered pairs ((xx,,yy)) of points on the parabola.
Start by working out the y-valuesy-values for each x-valuex-value in the table of values.
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
|
|
|
|
|
|
|
Substitute x=-3x=−3 into the given equation.
yy |
== |
2(2(-3−3)2)2 |
Substitute the value of xx |
|
== |
2(9)2(9) |
|
== |
1818 |
Simplify |
yy |
== |
1818 |
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
1818 |
|
|
|
|
|
|
Substitute the rest of the values of xx into the given equation.
xx |
-3−3 |
-2−2 |
-1−1 |
00 |
11 |
22 |
33 |
yy |
1818 |
88 |
22 |
00 |
22 |
88 |
1818 |
Plot the coordinates starting with ((-3−3,,1818)).
Draw a parabola using the points.
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Question 3 of 6
Graph y=4x2y=4x2 using a table of values.
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A table of values can be used to find the ordered pairs ((xx,,yy)) of points on the parabola.
Start by working out the y-valuesy-values for each x-valuex-value in the table of values.
xx |
-2−2 |
-1−1 |
-12−12 |
00 |
1212 |
11 |
22 |
yy |
|
|
|
|
|
|
|
Substitute x=-2x=−2 into the given equation.
yy |
== |
4(4(-2−2)2)2 |
Substitute the value of xx |
|
== |
4(4)4(4) |
|
== |
1616 |
Simplify |
yy |
== |
1616 |
xx |
-2−2 |
-1−1 |
-12−12 |
00 |
1212 |
11 |
22 |
yy |
1616 |
|
|
|
|
|
|
Substitute the rest of the values of xx into the given equation.
xx |
-2−2 |
-1−1 |
-12−12 |
00 |
1212 |
11 |
22 |
yy |
1616 |
44 |
11 |
00 |
11 |
44 |
1616 |
Plot the coordinates starting with ((-2−2,,1616)).
Draw a parabola using the points.
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Question 4 of 6
Graph y=x2+6y=x2+6 using a table of values.
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A table of values can be used to find the ordered pairs ((xx,,yy) of points on the parabola.
Start by working out the y-values for each x-value in the table of values.
Substitute x=-3 into the given equation.
y |
= |
(x)2+6 |
y |
= |
(-3)2+6 |
Substitute the value of x |
|
= |
9+6 |
|
= |
15 |
Simplify |
y |
= |
15 |
Substitute the rest of the values of x into the given equation.
x |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
y |
15 |
10 |
7 |
6 |
7 |
10 |
15 |
Plot the coordinates starting with (-3,15).
Draw a parabola using the points.
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Question 5 of 6
Graph y=-2x2 using a table of values.
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A table of values can be used to find the ordered pairs (x,y) of points on the parabola.
Start by working out the y-values for each x-value in the table of values.
Substitute x=-3 into the given equation.
y |
= |
-2(-3)2 |
Substitute the value of x |
|
= |
-2(9) |
|
= |
-18 |
Simplify |
y |
= |
-18 |
Substitute the rest of the values of x into the given equation.
x |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
y |
-18 |
-8 |
-2 |
0 |
-2 |
-8 |
-18 |
Plot the coordinates starting with (-3,-18).
Draw a parabola using the points.
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Question 6 of 6
Graph y=x2-x-6 using a table of values.
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A table of values can be used to find the ordered pairs (x,y) of points on the parabola.
Start by working out the y-values for each x-value in the table of values.
Substitute x=-3 into the given equation.
y |
= |
(x)2-x-6 |
y |
= |
(-3)2-(-3)-6 |
Substitute the value of x |
|
= |
9+3-6 |
|
= |
6 |
Simplify |
y |
= |
6 |
Substitute the rest of the values of x into the given equation.
x |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
4 |
y |
6 |
0 |
-4 |
-6 |
-6 |
-4 |
0 |
6 |
Plot the coordinates starting with (-3,6).
Draw a parabola using the points.