Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.
Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.
For a function y = f(x), horizontal dilation is achieved when x is replaced by
and vertical dilation is achieved when y is replaced by
where A is the scale factor.
In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.
Therefore, the answer to the given question is:
A dilation is an enlargement if the scale factor is greater than 1.
2(6+(x+3)) * (2-x) = 4 is what it looks like. twice meaning two of the following part,
then x needs increased by 3 before being added to 6
times (multiply)
the difference of 2 and x
all this = 4
Answer:
no solution
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The 2 lines shown here are parallel and never intersect
Hence the system has no solution
Answer:
x² - 16
Step-by-step explanation:
Given
(x - 4)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) - 4(x + 4) ← distribute both parenthesis
= x² + 4x - 4x - 16 ← collect like terms
= x² - 16
Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2