High School Transformations of functions problems, solved and explained

Recent questions in Transformations of functions

hexacordoK 2021-09-16 Answered

Express the area of a rectangle bounded by the x- and y-axes and the graph of $y = - \frac{1}{2} x + 4$ .

Globokim8 2021-09-14 Answered

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

Khaleesi Herbert 2021-09-14 Answered

Convert the function
$f (x) = x^{2} - 4 x + 5$
into vertex form.

alesterp 2021-09-13 Answered

Is $f (s) = x^{3}$ a bijection from $R$ to $R$ ?

Daniaal Sanchez 2021-09-12 Answered

g(x)
$= \frac{2 x^{2} - 3 x - 20}{x - 4}, if x \neq 4$
and
$= k x - 15$ , if $x = 4$
Evaluate the constant k that makes the function continuous.

Haven 2021-09-12 Answered

$f^{- 1} (4) = - 7$
$f (- 7) = ?$

Sinead Mcgee 2021-09-12 Answered

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

CMIIh 2021-09-12 Answered

A(3,5), B(0,4), C(-2,-2)
k = 2
Find the coordinates of the vertices after dialation with given k

djeljenike 2021-09-11 Answered

Rectangular equation is xy=5. Transform it into polar equation.

nitraiddQ 2021-09-10 Answered

$f : R \to R$
$f (x) = 7 x - 3$
Prove that f is onto.

Ayaana Buck 2021-09-09 Answered

The line $y = \frac{4}{5} x + 2$ passes through (1,2)
Express a line parallel to it with an equation.

BenoguigoliB 2021-09-09 Answered

Given:
$E (t) = L (t) + C (t)$
$E (t) = k \sin^{2} (2 π F t) + k \cos^{2} (2 π F t)$
Prove that E is a constant function, if k is constant.

Tabansi 2021-09-09 Answered

Given:
$n = 3$ .
4 and 2i are zeros.
$f (- 1) = 75$
Find an nth-degree polynomial function with real coefficients

Zoe Oneal 2021-09-09 Answered

What is the percent rate of the following function:
$y = 2 {(0.69)}^{t}$

Chesley 2021-09-09 Answered

Find domain of fog, if
1. $f (x) = x + 5 . g (x) = \frac{7}{x + 7}$
2. $f (x) = \sqrt{x} . g (x) = 6 x + 18$

generals336 2021-09-08 Answered

$f : R \to R$
$f (x) = 8 x - 2$
$f (a) = f (b)$
$a, b \in R$
Prove that f is one-to-one.

vazelinahS 2021-09-08 Answered

Given an indicated variable:
$S = 180 n - 360$
Solve it for n

vazelinahS 2021-09-07 Answered

Show that $f (x) = x - 6$ and $g (x) = x + 6$ are inverses of each other.

Anish Buchanan 2021-09-07 Answered

f(x)=6x, where
$\underset{1}{x} = 0 \to \underset{2}{x} = 4$
Find the average rate of change of the function from $\underset{1}{x} \to \underset{2}{x}$ .

abondantQ 2021-09-06 Answered

Transform the equation $r = 12$ from polar to rectangular form.

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