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Elena-2011 [213]
3 years ago
5

Please explain how you came to your answer, need help ASAP. Will give brainliest

Mathematics
1 answer:
shusha [124]3 years ago
5 0
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)

Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1

We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a

Now we know the equation is
.. y = -(x -2)^2 +1

_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3

=========
An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
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Answer? with solution please. Will automatically report kung wala:)
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B

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Step-by-step explanation:

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△HFM∼△PST
loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

z=\frac{HF}{PS}

substitute the given values

z=\frac{14}{8}=1.75

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

P=8+9+12=29\ units

step 3

Find the perimeter of triangle HFM

we know that

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so

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

so

29(1.75)=50.75\ units

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