SOLUTION: I need help with this one please. Graph the quadratic function f(x)= 4(x+5)^2-1 Complete all of the steps required to find the information needed to be able to graph the functio

Question 332279: I need help with this one please.
Graph the quadratic function
f(x)= 4(x+5)^2-1
Complete all of the steps required to find the information needed to be able to graph the function by hand.
Thank-you ahead of time. I sincerely appreciate your time.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

In order to graph , we need to plot a few points.

To get points in the form of (x,y), we need to find corresponding 'y' values to given 'x' values.

Let's find the y value when

Start with the given equation.

Plug in .

Add -7 to 5 to get -2.

Square -2 to get 4.

Multiply 4 and 4 to get 16 .

Subtract 1 from 16 to get 15 .

So if , then which gives us the point (-7,15).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Add -6 to 5 to get -1.

Square -1 to get 1.

Multiply 4 and 1 to get 4 .

Subtract 1 from 4 to get 3 .

So if , then which gives us the point (-6,3).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Add -5 to 5 to get 0.

Square 0 to get 0.

Multiply 4 and 0 to get 0 .

Subtract 1 from 0 to get -1 .

So if , then which gives us the point (-5,-1).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Add -4 to 5 to get 1.

Square 1 to get 1.

Multiply 4 and 1 to get 4 .

Subtract 1 from 4 to get 3 .

So if , then which gives us the point (-4,3).

----------------------------

Let's find the y value when

Start with the given equation.

Plug in .

Add -3 to 5 to get 2.

Square 2 to get 4.

Multiply 4 and 4 to get 16 .

Subtract 1 from 16 to get 15 .

So if , then which gives us the point (-3,15).

----------------------------

Now let's make a table of the values we just found.

Table of Values:



x y
-7 15
-6 3
-5 -1
-4 3
-3 15

Now let's plot the points:

Graph:

Now draw a curve through all of the points to graph :

Graph of
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