Our quadratic polynomial function is:
f(x) = 4x^2 + 2x + 5
our linear binomial form is:
x - a = -2
hence:
a = x + 2
and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let 
. Its vertex can be found on the coordinates 
such that 
and 
, in which 
.
Using the coefficients given by the question, we get that:
Thus, we have:
So the statement is true, because the 
coordinate of the vertex of the function is equal to 
9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
Answer:
The magnitude of a vector is its <u>length</u>.
To calculate the magnitude of a vector in any number of dimensions, square root the sum of the squares of each dimension.
Therefore, if 
then its magnitude is:
Similarly, if 
then its magnitude is:
