Answer:
2
Step-by-step explanation:
2x2=4
Part A:
The first step of completing the square is writing the expression
as
which expands to
.
We have the first two terms exactly the same with the function we start with:
and
but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression
The function in completing the square form is
Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero
It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function
can either make U-shape or ∩-shape depends on the value of the constant
that goes with
. When
is (+), the curve is U-shape. When
(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is
This function is shown in the diagram below
Answer:
3/4
Step-by-step explanation:
3/14 ÷ 2⁄7
Copy dot flip
3/14 * 7/2
We rewrite
3/2 * 7/14
Canceling a 7 from 7 and 14
3/2 * 1/2
Multiplying straight across
3*1 =3
2*2=4
3/4
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A