SOLUTION: f(x) = -2x^2

SOLUTION: f(x) = -2x^2 - 8x + 3

Question 130124: f(x) = -2x^2 - 8x + 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Do you want to graph?

In order to graph , we need to plot some points. To do that, we need to plug in some x values to get some y values

So let's find the first point:

Start with the given function

Plug in

Raise -5 to the 2nd power to get 25

Multiply -2 and 25 to get -50

Multiply 8 and -5 to get -40

Subtract -40 from -50 to get -10

Add -10 and 3 to get -7

So when , we have

So our 1st point is (-5,-7)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise -4 to the 2nd power to get 16

Multiply -2 and 16 to get -32

Multiply 8 and -4 to get -32

Subtract -32 from -32 to get 0

Add 0 and 3 to get 3

So when , we have

So our 2nd point is (-4,3)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise -3 to the 2nd power to get 9

Multiply -2 and 9 to get -18

Multiply 8 and -3 to get -24

Subtract -24 from -18 to get 6

Add 6 and 3 to get 9

So when , we have

So our 3rd point is (-3,9)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise -2 to the 2nd power to get 4

Multiply -2 and 4 to get -8

Multiply 8 and -2 to get -16

Subtract -16 from -8 to get 8

Add 8 and 3 to get 11

So when , we have

So our 4th point is (-2,11)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise -1 to the 2nd power to get 1

Multiply -2 and 1 to get -2

Multiply 8 and -1 to get -8

Subtract -8 from -2 to get 6

Add 6 and 3 to get 9

So when , we have

So our 5th point is (-1,9)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise 0 to the 2nd power to get 0

Multiply -2 and 0 to get 0

Multiply 8 and 0 to get 0

Subtract 0 from 0 to get 0

Add 0 and 3 to get 3

So when , we have

So our 6th point is (0,3)

-------------- Let's find another point --------------

Start with the given function

Plug in

Raise 1 to the 2nd power to get 1

Multiply -2 and 1 to get -2

Multiply 8 and 1 to get 8

Subtract 8 from -2 to get -10

Add -10 and 3 to get -7

So when , we have

So our 7th point is (1,-7)

Now lets make a table of the values we have calculated

Now plot the points

Now connect the points to graph (note: the more points you plot, the easier it is to draw the graph)

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