Answer:
Step-by-step 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:
[tex]y=(-1)^2+6(-1)+10[/tex]. Do the math on that and you should get that y = 5. So one coordinate on this graph is (-1, 5).
At x = -2:
[tex]y=(-2)^2+6(-2)+10[/tex]. Do the math on that and you should get that y = 2. Another coordinate on this graph is (-2, 2).
At x = -3:
[tex]y=(-3)^2+6(-3)+10[/tex]. Do the math on that and you should get that y = 1. A third coordinate on this graph is (-3, 1).
At x = -4:
[tex]y=(-4)^2+6(-4)+10[/tex]. Do the math on that and you should get that y = 2. A fourth coordinate on this graph is (-4, 2).
At x = -5:
[tex]y=(-5)^2+6(-5)+10[/tex]. 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).
