VIRILI LER
U
Graphing Quadratic Functions
Graph this function: f(x) = x2 - 4x - 5
Step 1: Identify a and b.
a = b = -40
Step 2: Find the vertex using the formula 1 =
I=
Check

Step-by-step explanation:

hello :

a= 1      b= -4  

the vertex is : ( -b/2a  ; f(-b/2a)

-b/2a = - (-4)/2 = 2

f(2) = (2)²-4(2)-5 = 4-13= -9

the vertex is : (2  ; -9)

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation:

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