# Graph y=-2x^(2+1)

y=-2×2+1
Find the point at x=-2.
Replace the variable x with -2 in the expression.
f(-2)=-2(-2)3
Simplify the result.
Multiply -2 by (-2)3 by adding the exponents.
Multiply -2 by (-2)3.
Raise -2 to the power of 1.
f(-2)=(-2)(-2)3
Use the power rule aman=am+n to combine exponents.
f(-2)=(-2)1+3
f(-2)=(-2)1+3
f(-2)=(-2)4
f(-2)=(-2)4
Raise -2 to the power of 4.
f(-2)=16
16
16
Convert 16 to decimal.
y=16
y=16
Find the point at x=-1.
Replace the variable x with -1 in the expression.
f(-1)=-2(-1)3
Simplify the result.
Raise -1 to the power of 3.
f(-1)=-2⋅-1
Multiply -2 by -1.
f(-1)=2
2
2
Convert 2 to decimal.
y=2
y=2
Find the point at x=0.
Replace the variable x with 0 in the expression.
f(0)=-2(0)3
Simplify the result.
Raising 0 to any positive power yields 0.
f(0)=-2⋅0
Multiply -2 by 0.
f(0)=0
0
0
Convert 0 to decimal.
y=0
y=0
Find the point at x=1.
Replace the variable x with 1 in the expression.
f(1)=-2(1)3
Simplify the result.
One to any power is one.
f(1)=-2⋅1
Multiply -2 by 1.
f(1)=-2
-2
-2
Convert -2 to decimal.
y=-2
y=-2
Find the point at x=2.
Replace the variable x with 2 in the expression.
f(2)=-2(2)3
Simplify the result.
Raise 2 to the power of 3.
f(2)=-2⋅8
Multiply -2 by 8.
f(2)=-16
-16
-16
Convert -16 to decimal.
y=-16
y=-16
The cubic function can be graphed using the function behavior and the points.
xy-216-12001-22-16
The cubic function can be graphed using the function behavior and the selected points.
Rises to the left and falls to the right
xy-216-12001-22-16
Graph y=-2x^(2+1)