Transformations of functions, solved and explained

Recent questions in Transformations of functions

elfmo20 2022-08-14

Stephanie Wilkerson 2022-08-09

Perform the indicated operations and indicate the degree of the resulting polynomial.

(-8x^5+6x^2-9x+11)+(19x^5+3x^2-3x-14)

betterthennewzv 2022-08-08

Given f(x) = absoulte value of X and g(x)= x-2. Find $(f + g) (x), (f - g) (x), (f g) (x), (f / g) (x)$ and $(f \circ g) (x)$

Ismael Molina 2022-07-16

Prove the identity
$\csc x - \cot x \cdot \cos x = \sin x$

Amanda Davila 2022-06-03

Write an equation for the graphed function by using transformations of the graphs of one of the toolkit functions.
y =

jamesvivian911 2022-02-08

The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f.

percibaa8 2021-12-20

Suppose $f (x, y) = (x - y) (16 - x y)$ . Answer the following
1. Find the local maxima of $f$ .
2. Find the local minima of $f$ .
3. Find the saddle points of $f$ .

Khadija Wells 2021-10-06

If $f (x) = x + 4$ and $g (x) = 4 x ²$ , find $(f + g) (x)$ and $(f + g) (2)$ .

nicekikah 2021-09-30

g is related to one of the parent functions. Describe the sequence of transformations from f to g.

$g (x) = 2 - (x + 5)^{2}$

facas9 2021-09-30

Given that f(x) = 3x - 7 and that (f + g)(x) = 7x + 3, find g(x).

Rui Baldwin 2021-09-29

use long division to determine if 2x-1 is a factor of $p (x) = 6 x^{3} + 7 x^{2} - x - 2$

shadsiei 2021-09-29

$f (x) = 9, if x \leq - 4, and f (x) = a x + b, if - 4 < x < 5, and f (x) = - 9, if x \geq 5,$
Find the constants, if the function is continuous on the entire line.

jernplate8 2021-09-28

Graph f and g in the same rectangular coordinate system. Use transformations of the graph off to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function’s domain and range.
$f (x) = \ln x and g ⟨ x) = - \ln (2 x)$

ka1leE 2021-09-27

x=-8, when $y = - \frac{1}{4}$ in an inverse variation.
Find y, when x=4.

nitraiddQ 2021-09-26

Describe the transformations that were applied to $y = x^{2}$ to obtain each of the following functions. $a) y = - 2 {(x - 1)}^{2} + 23 b) y = {(\frac{12}{13} (x + 9))}^{2} - 14 c) y = x^{2} - 8 x + 16 d) y = (x + \frac{3}{7}) (x + \frac{3}{7}) e) y = 40 {(- 7 (x - 10))}^{2} + 9$

smileycellist2 2021-09-24

Show that f is inverse of g and vice-versa, if
f(x)=x-6 and g(x)=x+6

Joni Kenny 2021-09-24

Given:
$\frac{m}{8} = \frac{15}{24}$
Is $8 \times m = 25 \times 15$ true or false? Correct if false. Find m.

Regardless if you are dealing with transformations of exponential functions or want to solve quadratic function equations, we have all the right answers for you that are based on the most common questions. These answers below are meant to help you find the starting points as you are dealing with this part of Algebra for your college task.

Have no worries if you cannot find your question below because mathematical transformations of exponential functions are mostly the same, which is why understand at least one example correctly will be of help.

Algebra

Perform the indicated operations and indicate the degree of the resulting polynomial.

(-8x^5+6x^2-9x+11)+(19x^5+3x^2-3x-14)

Given f(x) = absoulte value of X and g(x)= x-2. Find $(f + g) (x), (f - g) (x), (f g) (x), (f / g) (x)$ and $(f \circ g) (x)$

Prove the identity
$\csc x - \cot x \cdot \cos x = \sin x$

x=-3

Find the indicated function

Write an equation for the graphed function by using transformations of the graphs of one of the toolkit functions.
y =

The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f.

Suppose $f (x, y) = (x - y) (16 - x y)$ . Answer the following
1. Find the local maxima of $f$ .
2. Find the local minima of $f$ .
3. Find the saddle points of $f$ .

If $f (x) = x + 4$ and $g (x) = 4 x ²$ , find $(f + g) (x)$ and $(f + g) (2)$ .

g is related to one of the parent functions. Describe the sequence of transformations from f to g.

$g (x) = 2 - (x + 5)^{2}$

Given that f(x) = 3x - 7 and that (f + g)(x) = 7x + 3, find g(x).

use long division to determine if 2x-1 is a factor of $p (x) = 6 x^{3} + 7 x^{2} - x - 2$

$f (x) = 9, if x \leq - 4, and f (x) = a x + b, if - 4 < x < 5, and f (x) = - 9, if x \geq 5,$
Find the constants, if the function is continuous on the entire line.

Graph f and g in the same rectangular coordinate system. Use transformations of the graph off to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function’s domain and range.
$f (x) = \ln x and g ⟨ x) = - \ln (2 x)$

x=-8, when $y = - \frac{1}{4}$ in an inverse variation.
Find y, when x=4.

Describe the transformations that were applied to $y = x^{2}$ to obtain each of the following functions. $a) y = - 2 {(x - 1)}^{2} + 23 b) y = {(\frac{12}{13} (x + 9))}^{2} - 14 c) y = x^{2} - 8 x + 16 d) y = (x + \frac{3}{7}) (x + \frac{3}{7}) e) y = 40 {(- 7 (x - 10))}^{2} + 9$

Show that f is inverse of g and vice-versa, if
f(x)=x-6 and g(x)=x+6

Given:
$\frac{m}{8} = \frac{15}{24}$
Is $8 \times m = 25 \times 15$ true or false? Correct if false. Find m.

Transformation of functions questions and answers

Write an equation for the graphed function by using transformations of the graphs of one of the toolkit functions. y =

Write an equation for the graphed function by using transformations of the graphs of one of the toolkit functions.
y =