Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
Explanation:
Midline: it is a horizontal line where half of the function above it and half of the function is below it.
Amplitude: It means how far the function varies from the midline to the above and below.
Period: the distance between two consecutive maximum points (minimum points).
3) From the graph,

Answer: Midline=1
1) Amplitude

2) Periods

4) The trigonometric equation is,

Answer:
Answer:
x² + 2x - 48
Step-by-step explanation:
( x + 8 ) ( x - 6 )
= x ( x - 6 ) + 8 ( x - 6 )
= x*x - 6*x + 8*x + 8*( - 6 )
= x² - 6x + 8x - 48
= x² + 2x - 48
Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams