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Strike441 [17]
2 years ago
8

Write an equation for the function whose graph is the shape of f(x) = x2, but shifted three units to the lef

Mathematics
1 answer:
horsena [70]2 years ago
7 0

The equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

We have:

g₁(x)  which is a transformed function of f(x)

f(x) shifted three units to the left.

Plug x → (x + 3)

g₁(x) = (x + 3)²

Similarly,

Equation for the function whose graph is in the shape of g₁(x), but shifted five units up.

g₂(x) =  (x + 3)² + 5

Equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.

g₃(x) =  -[(x + 3)² + 5]

Thus, the equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)²,  (x + 3)² + 5, and -[(x + 3)² + 5] respectively.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

7 0
3 years ago
Which inequality is a true statement?
nordsb [41]

Answer It's A, B, C, and F. Or 1, 2, 3, 5

Step-by-step explanation:

To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.

7 0
3 years ago
Find the value of x.<br> 140°<br> 40<br> 2x<br> A. 50<br> B. 90<br> C. 20<br> D. 70
Temka [501]
B is the answer
Hope this help help
7 0
3 years ago
Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
3 years ago
Read 2 more answers
Simplify fully<br> 2√3 x 3√8​
OverLord2011 [107]

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

8 0
2 years ago
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