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)
Imagine a machine that you put number into. However, the machine has a function that creates a new number. Remember that the number that comes out depends on the number that is put in. With this information, i'm pretty sure its the third bubble. im sorry that my information might not be accurate.
Answer:
B SSA
Step-by-step explanation:
Geometric proofs can be used to show that the two triangles are congruent using ASA, SAS and SSS.
However, there is no such thing as SSA in geometry because an angle and two sides can not show congruence of triangles. This is so because the angle is not an included angle.
We know that imaginary roots always come in pairs, so we already know 4 solutions
-2, 2, 4 + i and a pair of 4 + i
Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots
So for sure, we will have 3 real roots and 2 imaginary roots
Last option, f(x) has three real roots and two imaginary roots
Answer: It would be C(-3 -1) D(1 -1). (Aka the second one)
Step-by-step explanation:
The top of A and B is 4 units. If you count down five units vertically you get to -3, -1 and 1, -1. You need to count down 5 units because its asking you to get 20. So 5 x 4 = 20.