Question

Graphing the parabola y= -2x^2

Answer 1

By definition, when you graph a Quadratic function you get a parabola.

The Parent function of the Quadratic functions is:

`y=x^2`

The parabola of the Parent function is:

You can notice that its vertex is at the Origin and it opens upward.

In this case you have this Quadratic function:

`y=-2x^2`

You can identify that it's like the form of the Parent function, but it has a negative coefficient that is multiplying the variable. Then:

- Since the coefficient is negative, the parabola opens downwards.

- The vertex of the parabola is at the Origin.

Now you can give values to "x" in order to make a table and find points on the parabola:

1. When

`x=-2`

You get:

`y=-2(-2)^2=-8`

2. When

`x_{}=-1`

You get:

`y=-2(-1)^2=-2`

3. When

`x=0`

You get:

`y=-2(0)^2=0`

4. When

`x=1`

You get that:

`y=-2(1)^2=-2`

5. When

`x=2`

You get:

`y=-2(2)^2=-8`

Now you can make the table. This is:

Finally, you have to plot the points on the Coordinate plane in order to graph the function.

The answer is: