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Juliette [100K]
3 years ago
6

Which phrase best describes the translation from the graph y=(x-5)+7 to the graph of y=(x+1)^2-2

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
Y equals a number minus 5 add 77 to the graph of y equals x minus 1 squared minus 2
Ilya [14]3 years ago
3 0

Answer:

<h2>It moved 6 units leftwards and 9 units downwards</h2>

Step-by-step explanation:

The given functions are

y=(x-5)^{2} +7\\y=(x+1)^{2}-2

Basically, these functions described the function before the translation and after the translation.

You can observe that the number with the x-variable changed from 5 to -1, the function was initially at x=5, and changed to x=-1. So, the function horizontally moved 6 units to the left.

Obseve that the constant term changed from 7 to -2, this means the function was intially at y=7, and changed to y=-2. So, the function vertically moved 9 units downwards.

Therefore, the phrase that best describes the translation is "it moved 6 units leftwards and 9 units downwards".

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You are given f(0) = 1 and g(0) = -2 and g(1) = 3. What is <br> g ∘ f ( 0 ) <br> equal to?
Sergeu [11.5K]

Answer:

  • <u><em>g∘f (0) = 1</em></u>

Explanation:

The <em>composition</em> of the <em>functions</em> f and g represented by g ∘ f ( 0 ) means that g is applied to f(0), i.e f(0) is the input to the function g.

Since f(0) = 1, you are going fo find g(1):

         \( g\circ f(x)=g(f(x)) \)\\\\\( g\circ f(0)=g(f(0)) \)\\\\\( g\circ f(0)=g(1) \)=3

4 0
3 years ago
A rectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle.
sleet_krkn [62]

Answer:

18x+21

Step-by-step explanation:

First multiply each equation by 2 since there is 2 sides for both the length and width.

2(2x+3)   2(7x+9)

4x+3         14x+18    

Then combine like terms

4x+14x       3+18

18x              21

4 0
3 years ago
What expression is equivalent to (2a - 7) + 5(3 - a)
Colt1911 [192]

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

7 0
2 years ago
The ticket for ice hockey match was £14.50. the price has increased by 7%.
Serjik [45]
(14.50×7)/100 + 14.50
7 0
3 years ago
Read 2 more answers
What number would you add to both sides of x2 + 7x = 4 to complete the square?<br> o 22
Vika [28.1K]

Answer:

49/4

Step-by-step explanation:

x^2 + 7x = 4

Take the coefficient of x

7

Divide by 2

7/2

Square it

(7/2) ^2 = 49/4

Add this to each side

x^2 + 7x  +49/4= 4+49/4

4 0
3 years ago
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