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Andrew [12]
4 years ago
13

The function g(x) = x^2 is transformed to obtain function h:

Mathematics
1 answer:
Anika [276]4 years ago
6 0

Answer:

b

Step-by-step explanation:

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Nsider the following system of equations y=6x^2+1, y=x^2+4
sp2606 [1]

The given equations are y= 6x^2+1 and y=x^2+4

Both the equations equal y so we can make them equal

6x^2+1=x^2+4

To bring x term on one side we subtract x^2 both sides

6x^2-x^2+1=4

5x^2+1=4

To isolate x term we subtract 1 both sides

5x^2=4-1

5x^2=3

Dividing by 5 both sides

X^2=3/5

Taking root of both sides we have:

X=±√⅗

Substituting x value to find y

When x=+√⅗=0.7745

Y= 6x^2+1

Y=6(3/5)+1

Y= 18/5+1

Y=23/5 =4.6

When x= -√⅗=-0.7745

Y= 6(3/5)+1

Y=23/5=4.6

Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)

7 0
3 years ago
the graph of y=x^2 is shifted 4 units to the right, vertically stretched by a factor of 6, reflected over the x axis and shifted
Vika [28.1K]
Use the vertex form: 

y = 6(-x-4)^2 -7
5 0
4 years ago
Read 2 more answers
Explain why an inverse variation function is not the best model for the data set​
dmitriy555 [2]

Answer: The cause of exponential decay. Sowwy if im wrong

Step-by-step explanation:

An inverse variation function is not the best model because the data points show an exponential decay. The fact that this is true for ALL of the points shown indicates we have an inverse variation of the form x*y = k where k = 60 in this case. ... For any inverse variation, as x increases, y will decrease (and vice versa).

5 0
4 years ago
In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to
solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0
3 years ago
Which of the following is equivalent to 17g – 2g?
djverab [1.8K]

Hey there!!

Given equation :

17g - 2g

Let;s first look at something which is common in both the terms.

Yes, the alphabet which is common is the ' g '.

Now, let's apply distributive property.

... 17g - 2g

... g ( 17 - 2 )

Hence, the appropriate answer would be ' D '.

Hope my answer helps!

6 0
3 years ago
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