Question

Click to choose the correct graph to match the given expression.

y=2x^2

Answer 1

The graph of equation is shown in figure 1.

Explanation:

Consider the provided equation.

`y=2x^2`

Now draw the graph of the equation.

Substitute x = 0 in the provided equation.

`y=2(0)^2`

`y=0`

Substitute x = 1 in the provided equation.

`y=2(1)^2`

`y=2`

Substitute x = -1 in the provided equation.

`y=2(-1)^2`

`y=2`

Substitute x = 2 in the provided equation.

`y=2(2)^2`

`y=2(4)`

`y=8`

Substitute x = -2 in the provided equation.

`y=2(-2)^2`

`y=2(4)`

`y=8`

Now draw the table as shown:

x -2 -1 0 1 2

f(x) 8 2 0 1 8

Hence, the graph of equation is shown in figure 1.