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Stels [109]
3 years ago
8

The graphs below have the same shape. What is the equation of the blue graph?​

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

D. g(x)=(x+4)^{2}-3

Step-by-step explanation:

g(x) is a translated function. Compared to the parent function, f(x)=x^{2}, it has been shifted 4 left and 3 down. The rule for quadratic functions is y=a(x-h)^{2} +k, where h is the x-translation (horizontal) and k is the y-translation (vertical). In g(x) h=-4 and k=-3. While it might seem like h is positive, remember that since in rule it is being subtracted it must be negative.

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What term can you add to 5/6x -4 to make an equivalent to 1/2x-4
solmaris [256]

Answer:

Denote adding term = a

a = (5/6x) - 4 - (1/2x) - 4

a = (5/6x) - (1/2x)

a = (5/6x) - (3/6x)

a = (2/6x)

a = (1/3x)

*******************************

a = (5/6)x - 4 - (1/2)x - 4

a = (5/6)x - (1/2)x

a = (5/6 - 1/2)x

a = (1/3)x

Hope this helps!

7 0
3 years ago
What is new equation if the function y=2^x is translated 5 units to the right and 1 unit down?
Alja [10]
2^(x-5) -1 should be it
4 0
3 years ago
Help needed:( / 25 points
N76 [4]

Answer:

423000cm²

Step-by-step explanation:

its multiply by 10000

3 0
3 years ago
Read 2 more answers
The table shows the outputs, y, for different inputs, x:
quester [9]
Part A:
Yes, the data represent a function because there is at least one x-value for every y-value.

Part B:
When x=6 in the input-output table, y=6 as well. When x=6 in the relation f(x)=2x+16, f(x)=2(6)+16=28. The equation has a greater value when x=6.

Part C:

Set f(x) equal to 40 in the equation:
40=2x+16
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2x=24
x=12
x=12 when f(x)=40
3 0
3 years ago
.
mario62 [17]

Hard to say, since you provide no picture or equation.

8 0
3 years ago
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