Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
For the translations, we have that:
- Shift left, hence x -> x + a, a > 0.
- Shift down, hence y -> y - a, a > 0.
- Having a maximum means that the leading coefficient is negative.
The functions that respect these conditions are:
- t(x) = -2x² - 4x - 3 = -2(x² + 2x) - 3 = -2(x + 1)² - 1
More can be learned about translation concepts at brainly.com/question/4521517
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What are the advantages of the parametric equations
Answer:
Step-by-step explanation:
Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.
From the question given; the advantages of parametric equations given
x = 1 + 6 cos t
y= -2 + 6 sin t
are
:
1) For a given value of the independent variable the parametric equation is used exactly one point on the graph
2) the parametric equations have a finite domain
3) the parametric equation is easier to enter into a calculator for graphic
Answer:
See below ~
Step-by-step explanation:
<u>Question #8</u>
- Area = 10 x 11.7
- Area = <u>117 m²</u>
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<u>Question #10</u>
- Area = 11 x 11
- Area = <u>121 m²</u>
You can write this two ways - as a list of prime factors, or combine like factors and represent their quantity with an exponent.
If you begin by dividing by two, you can do that six times, with a three as the remaining prime factor.
2·2·2·2·2·2·3
OR
2∧6 · 3
Answer:
-12
Step-by-step explanation:
8x - 2(6 - x)
Substitute 0 for each x
8*0 - 2(6 - 0)
Solve.
0 - 2*6
0 - 12
-12
