Answer:
g(x)=x² -3
Step-by-step explanation:
Vertical and horizontal translations are the displacements of a function in the coordinate system (x, y). By transferring the graphical representation of a given function, we obtain representations of related functions. The graph of the translated function will always be the same as the original.
When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down.
So, the algebraic expression of the parabola that results from moving the parabola f (x) = x² vertically is f (x) = x² + q
-
If q> 0, the parabola moves q units up.
-
If q <0, the parabola moves q units down.
So the vertex of the parabola is at the point (0, q).
So if the function f (x) = x² is translated 3 units down, the function g (x) will be:
<u><em>g(x)=x² -3</em></u>
Answer:Surface area of a rectangular prism is 2LW+2LH+2WH
Surface area is 82 sq. in
Step-by-step explanation:
Answer:
A.
This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.
B.
The null hypothesis
H0: μ1 = μ2 = μ3 = μ4
The alternate hypothesis:
H1: at least 2 means are unequal
C.
First we calculate the grand mean
= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]
= (643.5 +732.7 + 349.6 + 614.6)/54
= 2340.4/54
= 43.341
Sum of squared treatment
= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]
= 9.3104
Mean square of treatment
= SST/I-1
= 9.3104/4-1
= 9.3104/3
= 3.1035
Error sum of squared
= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²
= 88.46
Error mean square
MSE = 88.46/54-4
= 1.7692
Test statistic
= 3.1035/1.7692
= 1.75
The answers is b because that the answers
