The formula to graph a circle is:
(x-h)^2+(y-v)^2=r^2
Step 1: find the center if the circle.
Using this equation: x^2+y^2=r^2
Step 2: calculate the radius by solving for r
Step 3: plot the radius on the coordinate plane
Step 4: connect the dots to the graph forming a round smooth circle
Step 5: replace your (h,v) with your center points and switch the signs in your equation for the formula of graphing a circle
Step 6: calculate the radius
Step 7: plot the radius points on the coordinate plane
Step 8: connect the dots to the graph of a circle
The length of A"B" is 20 units
<h3>How to determine the length of A'B'?</h3>
From the figure, we have:
A = (1, 4)
B = (4, 8)
The distance AB is:

So, we have:

Evaluate

This gives
AB = 5
The scale factor of dilation is 4.
So, we have:
A'B' = 5 * 4
Evaluate
A'B' = 20
Hence, the length of A"B" is 20 units
Read more about dilation at:
brainly.com/question/18977334
#SPJ1
Answer:
Minimum 8 at x=0, Maximum value: 24 at x=4
Step-by-step explanation:
Retrieving data from the original question:
![f(x)=x^{2}+8\:over\:[-1,4]](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D%2B8%5C%3Aover%5C%3A%5B-1%2C4%5D)
1) Calculating the first derivative

2) Now, let's work to find the critical points
Set this
0, belongs to the interval. Plug it in the original function

3) Making a table x, f(x) then compare
x| f(x)
-1 | f(-1)=9
0 | f(0)=8 Minimum
4 | f(4)=24 Maximum
4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.