SOLUTION: Sketch the graph of the following functions h(x) = -x^2 + 2

Question 87018: Sketch the graph of the following functions
h(x) = -x^2 + 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points.
We can start at any x value, so lets start at x=-3

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our first point is (-3,-7)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our second point is (-2,-2)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our third point is (-1,1)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our fourth point is (0,2)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our fifth point is (1,1)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our sixth point is (2,-2)

----Now lets find another point----

Start with the given polynomial
Plug in

Evaluate the expression by following the order of operations

So our seventh point is (3,-7)

----Now lets find another point----

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph

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