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2 years ago

What is the parent function of g(x) = 3cos (x + 180°) + 1

Mathematics

1 answer:

nexus9112 [7]2 years ago

8 0

The parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)

<h3>What are parent functions?</h3>

Parent functions are the basic function that represents the entire family of that function family

<h3>How to determine the parent function?</h3>

The function is given as;

g(x) = 3cos (x + 180°) + 1

As a general rule, the parent function of any function is the basic equation of the function family

The basic equation of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)

Hence, the parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)

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djverab [1.8K]

Answer: Option D

$t_{max} =19\ s$

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

$h = -12t ^ 2 + 456t$

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By definition the maximum value of a quadratic equation of the form

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Where $a$

In this case the equation is: $h = -12t ^ 2 + 456t$

Then

$a=-12\\b=456\\c=0$

So:

$t_{max} = -\frac{456}{2*(-12)}$

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3 years ago

The base of a triangle is seven less than twice its height. If the area of the triangle is 100cm^2 find the length of the base

Alexeev081 [22]

2x-7 * x
----------- =. 100^2= 10000
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2x^2-7/2= x^2-7/2

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4 years ago

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8090 [49]

First, distribute the (1/2) into (4x+12) by multiplying them.

The equation becomes:

2x + 6 + 5x = 30

On the left side, combine “like terms” through addition.

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7x = 24

Finally, get x alone by dividing both sides by 7:

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