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) Ske

snowlovelydayM 2021-06-23 Answered

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. \(\displaystyle{h}{\left({x}\right)}={\left({x}−{2}\right)}^{{3}}+{5}\)

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

d2saint0
Answered 2021-06-24 Author has 28283 answers

a) Parent function: \(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}\)
b) -Horizontal shift 2 units to the right
    -Vertical shift 5 units upward
c) The graph will be:
[Graph]
d) In function notation, \(h(x)=f(x-2)+5\) 

Not exactly what you’re looking for?
Ask My Question
16
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-05-27

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. \(\displaystyle{h}{\left({x}\right)}=∣{2}{x}+{8}∣−{1}\)

asked 2021-05-02

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. \(h(x)=f(x-1)+4\)

asked 2021-05-27

g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g by hand. (d) Use function notation to write g in terms of the parent function f. \(\displaystyle{g{{\left({x}\right)}}}=−{\left({x}+{3}\right)}^{{3}}−{10}\)

asked 2021-05-27

g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g by hand. (d) Use function notation to write g in terms of the parent function f. \(\displaystyle{g{{\left({x}\right)}}}=\frac{{1}}{{2}}∣{x}−{2}∣−{3}\)

asked 2021-06-12

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. \(h(x) = (x - 2)^3 + 2\)

asked 2021-06-07

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(\displaystyle{h}{\left({x}\right)}=−\sqrt{x+4}\)

asked 2021-05-29

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(h(x)=|x+3|−5.\)

...