Given the graph y = f(x)
The graph y = f(cx), where c is a constant is refered to as horizontal stretch/compression
A horizontal stretching is the stretching of the graph away from the y-axis.
A horizontal compression is the squeezing of the graph towards the
y-axis. A compression is a stretch by a factor less than 1.
If | c | < 1 (a fraction between 0 and 1), then the graph is stretched horizontally by a factor of c units.
If | c | > 1, then the graph is compressed horizontally by a factor of c units.
For values of c that are negative, then the horizontal
compression or horizontal stretching of the graph is followed by a
reflection across the y-axis.
The graph y = cf(x), where c is a constant is referred to as a
vertical stretching/compression.
A vertical streching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis. A compression is a stretch by a factor less than 1.
If | c | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of c units.
If | c | > 1, then the graph is stretched vertically by a factor of c units.
For values of c that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.
Answer:
$618
Step-by-step explanation:
$1854 divided by 18 months = $103 per month
$103 x 12 months = $1236 paid in one year.
$1854originally owed - $1236 paid in a year = $618 still owed after one year of payments.
Answer:
1,792 -7168
the pattern is to multiply by -4
Step-by-step explanation:
7 · -4 = -28
-28 · -4 = 112
112 · -4 = -448
-448 · -4 = 1,792
1,792 · -4 = -7168
Answer:
+ or - square root of 5, and + or - i
Step-by-step explanation:
(x^2 + 5)(x^2 + 1)= 0
Set each set of parentheses equal to zero:
x^2 + 5 = 0; x^2 = -5, so x will equal plus or minus i times the square root of 5.
X^2 +1 = 0; x^2 = -1, so x will equal plus or minus i times the square root of one, which is just i
