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Otrada [13]
3 years ago
14

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex

of the graph of f(x) = (x + 2)2 + 2?
Answer choices
A. g(x) = −(x − 3)2 + 2
B. ​g(x) = (x + 7)2 + 2
C. ​g(x) = (x + 5)2 + 2
D. g(x) = −(x + 2)2 + 5
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

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8. The scatter plot shows a hiker's elevation above
g100num [7]

Answer:

The hiker's elevation  after 145 minutes will be 1958 meters.

Step-by-step explanation:

The equation of the trend line of the scatter plot showing a hiker's elevation is y = 8.77x + 686 .......... (1), where x is in minutes (say) and y is in meters (say).

Now, we have to predict the hiker's elevation after 145 minutes.

So, from equation (1) we get, y = 8.77 × 145 + 686 = 1957.65 ≈ 1958 meters. (Answer)

3 0
3 years ago
Can someone help me with this question please!!!!!
faltersainse [42]
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

6 0
2 years ago
Write an equation of the line passing through point P that is perpendicular to the given line.
katovenus [111]

Answer:

y = 1/3x + 8

Step-by-step explanation:

*perpendicular means the reciprocal slope of the given line

m = 1/3

y = 1/3x + b

*plug in points with the point-slope equation

10 = 1/3(6) + b

10 = 2 + b

b = 8

*now plug everything into the equation

y = 1/3x + 8

4 0
2 years ago
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Please help out need it​
juin [17]

Answer:

at the answer is about 5.29

Step-by-step explanation:

to do this u need the pythagorean theorem.

a squared+ b squared=c squared

we have the a and c values so what u would do is c squared- a squared. (8 squared - 6 squared = b squared.

8 0
2 years ago
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Eva8 [605]

Answer:

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