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user100 [1]
3 years ago
6

The function f(x) = x2 - 6x + 9 is shifted 5 units to the left to create g(x). What is g(x)?

Mathematics
1 answer:
creativ13 [48]3 years ago
3 0

Answer:

g(x) = x^2 + 4x + 4

Step-by-step explanation:

In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.

Given the function;

f(x) = x2 - 6x + 9

a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;

g(x) = f(x+5)

g(x) = (x+5)^2 - 6(x+5) + 9

g(x) = x^2 + 10x + 25 - 6x -30 + 9

g(x) = x^2 + 4x + 4

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ANEK [815]

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

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Step-by-step explanation:

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A football team loses 15 yards on one play and gains 9 yards on another play. How many total yards did the team lose?
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2 years ago
PLEASE HELP PLS!!!!!
Alisiya [41]
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4

Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1

Simplify the equation
2x + x = 4 - 1
3x = 3

Move 3 on the left side to the right side, it becomes denominator
3x = 3
  x = 3/3
  x = 1

The solution to the equation is
x = 1
5 0
3 years ago
Read 2 more answers
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