Answer:
Step-by-step explanation:
To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.
Now, you can swap the variables again and write the function.
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Answer:
<em>F test</em>
Step-by-step explanation:
<em>For any test using the F-distribution, a "F Test" is a capture-all word. In certain circumstances, as individuals speak about the F-Test, it is the F-Test to compare two variances that they actually talk about. </em>
Moreover, in a multitude of tests, the f-statistics is used such as regression analysis, the Chow test and the Scheffe test (a post-hoc ANOVA test).
One should be using Excel, SPSS, Minitab or some other form of software to run the experiment if you are running a F test.
<em><u>Steps include.</u></em>
- State the hypothesis of nullity and the counter hypothesis.
- Determine the value of F. The F value is determined using equation F = (SSE1 – SSE2/m)/SSE2/n-k, where SSE = square residual, m = number of constraints, and k = number of independent variables.
- Find the statistics for F (the critical value for the test). The F statistical formula is: F Statistics = group mean / mean variance of variances within the group.
- The F Statistics can be found in the F-Table.
- The Null Hypothesis is accepted or denied.
To solve 7-2a-5-14=-2+3a :
1) combine like terms: 7-19 - 2a = -2 + 3a, and then -10 = 5a
2) solve this equation for a: a = -10/5 = -2.
The solution of 7-2a-5-14=-2+3a is a = -2.
