Answer:
Horizontal shift:
For the parent function f(x) and a constant h, the function given by g(x) = f(x-h) can be sketched by shifting f(x) h units horizontally.
The values of h determines the direction of shifts:
If :
- h>0, the parent graph shifts h units to the right
- h < 0, the parent graph shifts h units to the left.
Vertical shifts:
For the parent function f(x) and a constant k, the function given by g(x) =f(x) +k can be sketched by shifting f(x) k units vertically.
The value of k determines the direction of shifts;
if:
-
k > 0, the parent graph shifts k units upward, and
- k < 0, the parent graph shifts k units downward.
Therefore, the values of h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.
Answer:
A square
Step-by-step explanation:
A parallel cross section will be the same shape of the base. Since it's a square base, all parallel cross sections will also be parallel. Think of it as a different floor of a pyramid shaped building.
Answer:
hghjghgjh
Step-by-step explanation:
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 =
7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for
confidence interval is given as:
Confidence interval
= (x1 –x2) ± z σ
where z is a value
taken from the standard distribution tables at 99% confidence interval, z =
2.58
and σ is calculated
using the formula:
σ = sqrt [(σ1^2 /
n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 /
18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the
confidence interval:
Confidence interval
= 1.83 ± (2.58) (0.988297)
Confidence interval
= 1.83 ± 2.55
Confidence interval
= -0.72, 4.38
