Graphing Radical Functions (Parabolas and Circles)

Graphing Radical Functions (Parabolas and Circles)

Warm Up:

Find the endpoint, Graph this function. Find the domain and range.

In 1 minute I will put up the answer....

Multiple Select

• I got this 100% right

• I graphed it right but mixed things up in domain and range

• I got this wrong but understand my mistake

• HELP!!!

• Don't check this box.

Warm Up:

Find the endpoint, Graph this function. Find the domain and range.

In 1 minute I will put up the answer....

Multiple Select

• I got this 100% right

• I graphed it right but mixed things up in domain and range

• I got this wrong but understand my mistake

• HELP!!!

• Don't check this box.

Reminder...

• It creates 2 functions

• When you take the square root, make sure to note the positive and negative options.....

• Regular transformation rules will apply....

Multiple Choice

What 2 functions do we get when trying to graph

 $\left(y-3\right)^2-x=0$  ?

•  $3+x$ 
    $3-x$  

•  $3+\sqrt{x}$  
   $-3+\sqrt{x}$  
  

•  $\sqrt{x}+3$  
   $-\sqrt{x}+3$  
  

•  $-\sqrt{x}-3$  
   $\sqrt{x}+3$  
  
  

Multiple Choice

What transformation is taking place?

 $\sqrt{x}+3$  and  $-\sqrt{x}+3$  

• shifting up 3

• shifting down 3

• shifting left 3

• shifting right 3

Multiple Choice

Graph it.

What is your axis of symmetry?

• y=3

• y=-3

• x=3

• x=-3

Multiple Choice

Is this how your graph looked?

• Yes

• No

Multiple Choice

• I got this right

• I didn't get this right, I know what I did wrong.

• I didn't get this right, I don't know what I did wrong.

• Don't check this

Multiple Choice

• I got this right

• I didn't get this right, I know what I did wrong.

• I didn't get this right, I don't know what I did wrong.

• Don't check this

Multiple Select

Given

 $x^2+y^2=9$  identify the center and radius

• center = (0, 0)

• center = (0, 9)

• center = (9, 0)

• radius = 9

• radius = 3

Multiple Select

Graph

 $x^2+y^2=9$  identify the domain and range

• Domain:  $x\ge3$  

• Domain:  $-3\le x\le3$  

• Range:  $-3\le y$  

• Range:  $-3\le y\le3$ 

Multiple Choice

Which is the correct graph of $\left(x-1\right)^2+\left(y-2\right)^2=4$  

Completing the square

• Put the x and y's on one side together.

  
  

• see what is near the x and y.

• cut that number in half and write (x-#) squared.

• add the number squared to the opposite side.

Multiple Choice

collect x's, y's and move over numbers..... $x^2+y^2-4x-6y+8=0$  

•  $\left(x^2+4x\right)-\left(y^2+6y\right)=8$  

•  $\left(x^2-4x\right)+\left(y^2-6y\right)=8$  

•  $\left(x^2-4x\right)+\left(y^2-6y\right)=-8$  

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