Upper Level Algebra Q&A: Get Expert Help and Learn from Real-World Examples

h is related to one of the six parent functions.

(a) Identify the parent function f.

(b) Describe the sequence of transformations from f to h.

(c) Sketch the graph of h by hand.

(d) Use function notation to write h in terms of the parent function f. ${\displaystyle h\left(x\right)={(x-2)}^3+5}$

A multiple regression equation to predict a student's score in College Algebra $(\hat{y})$ based on their high school GPA ($x_1{x}_1$), their high school Algebra II grade ($x_2{x}_2$), and their placement test score ($x_3{x}_3$) is given by the equation below.
$\hat{y}=-9+5x_1{x}_1+6x_2{x}_2+0.3x_3{x}_3$
a) According to this equation, what is the predicted value of the student's College Algebra score if their high school GPA was a 3.9, their high school Algebra II grade was a 2 and their placement test score was a 40? Round to 1 decimal place.
b) According to this equation, what does the student's placement test score need to be if their high school GPA was a 3.9, their high school Algebra II grade was a 2, and their predicted College Algebra score was a 67? Round to 1 decimal place.

To find the lowest original score that will result in an A if the professor uses
$(i)(f\times g)(x)and(ii)(g\times f)(x)$.
Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test.
One problem worth 8 points had insufficient data, so nobody could solve that problem.
The professor adjusted the grades for the class by
a. Increasing everyone's score by 10% and
b. Giving everyone 8 bonus points
c. x represents the original score of a student