F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer:
SA = 156π
Step-by-step explanation:
The formula for surface area of a cylinder is
SA = 2πr² + 2πrh where r is the base radius, and h is the height.
We are given r = 6 and h = 7. Plug in those values and evaluate...
SA = 2π(6²) + 2π(6)(7)
SA = 2π(36) + 2π(42)
SA = 72π + 84π
SA = 156π
Answer:
0.3
Step-by-step explanation:
Find the number in the tenth place
3
and look one place to the right for the rounding digit
1
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
0.3
Answer:
E = {0, 1, 2, 3)
Step-by-step explanation:
- <u>Integer</u>: a number with no decimal or fractional part, from the set of negative and positive numbers, including zero
- < means less than
> means more than
E = {0, 1, 2, 3)