Question

make a table of values then graph the following quadratic functions

Answer 1

We have the next quadratic function

$f(x)=.5(x+2)^2$

we need to find the values of the table

x=-3 f(x=-3)=.5(-3+2)^2=0.5

x=-2 f(x=-2)=.5(-2+2)^2=0

x=-1 f(x=-1)=.5(-1+2)^2=0.5

x=0 f(x=0)=.5(0+2)^2=2

x=1 f(x=)=.5(1+2)^2=4.5

x=2 f(x=2)=.5(2+2)^2=8

x=3 f(x=3)=.5(3+2)^2=12.5

then we will graph the points, and we will obtain the graph