The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
<h3>What is transformation of a function?</h3>
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,
y=logx
A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.
y=logx +5
Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
Learn more about the transformed function here:
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34 + 56 * 43(23 / 7 - 45 + (78*4-12))= 621986
Answer: 4x^3 - x^2 - 20x + 5
Step-by-step explanation:
The given functions are
g(x) = 4x - 1
h(x) = x^2 - 5
We want to determine g(x).h(x)
We do this by multiplying g(x) by h(x). It becomes
g(x).h(x) = (4x - 1)(x^2 - 5)
We will expand the bracket by multiplying each term in the bracket . it becomes
(4x × x^2) + (4x × -5) + (-1 ×x^2) +
(-1 × - 5)
= 4x^3 - 20x - x^2 + 5
We would rearrange it in the standard form of a polynomial. It becomes
= 4x^3 - x^2 - 20x + 5
Part A:
Given in the statement
r(t)= 2t
A(r) = πr2
So to find A[r(t)]
You have to plug r(t) into A(r)
Answer: A[r(t)] =π(2t)2=4πt
Part B:
The statement tells you t=5 min and
π=3.14
So plug in you values
A[r(t)]=π(2(5))2=4* 3.14*5=62.8
10.00 bill
simple math 145 times 2, 80 times 3, and 2.75. and the areas together and get 905...
