Question

Can someone explain how to do this?

Answer 1

Explanation:

You have to make a table. Do this by taking each of the x values you see there and plug in for x into the equation and solve for y. Then plot the points.

x| -1 | -2 | -3 | -4 | -5 |

y|

We will plug each x value in, do the math, and come up with y. The first x value is -1:

`y=(-1)^2+6(-1)+10`. Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).

At x = -2:

`y=(-2)^2+6(-2)+10`. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).

At x = -3:

`y=(-3)^2+6(-3)+10`. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).

At x = -4:

`y=(-4)^2+6(-4)+10`. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).

At x = -5:

`y=(-5)^2+6(-5)+10`. Do the math on that and you should get that y = 5. A fifth point on that graph is (-5, 5).

Plot all those points and connect the dots. This is a parabola-shaped graph because your equation is a second degree (quadratic).