Which number is divisible by 2 and 4? a: 1,022 b: 1,992 c: 2,839 d: 2,918
2 answers:
You might be interested in
Answer:
Option A is correct
The only figure after composition of to figure R is Figure H
Step-by-step explanation:
From the given figure in R;
The coordinates in Figure R ;
(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)
Composite function defined as when one function is substituted into another function.
To Apply the composition to figure R;
First apply the Reflection in Figure R;
The rule of reflection is given by:
By applying the rule of reflection in Figure R ,
then, the coordinates becomes;
(1 , -1) (1, 1)
(2 , -2) (2, 2)
(4 , -2) (2, 4)
(0, -4) (4, 0)
Now, apply the translation
Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.
then,
the rule of translation is:
Apply the rule of translation on coordinates (1,1) , (2,2), (2,4) and (4,0)
then
(1 , 1) (1+0 1+3) =(1,4)
(2, 2) (2+0 2+3) =(2, 5)
(2, 4) (2+0 4+3) =(2 ,7) and
(4, 0) (4+0 0+3) =(4 ,3)
Then, the only figure after composition of to figure R is Figure H
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
= -
y = x² - x +
← is in standard form
with a = 1 and b = - , thus
= -
=
Substitute this value into y
y = ( )² -
(
) +
= -
+
=
Since a > 1 then the vertex is a minimum, thus
minimum value = → A