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RUDIKE [14]
3 years ago
15

What is the equation of the following graph in vertex form?

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

The equation in vertex form is:

y=(x-2)^2+1

Step-by-step explanation:

Recall that the formula of a parabola with vertex at (x_{vertex},y_{vertex}) is given by the equation in vertex form:

y=a\,(x-x_{vertex})^2+y_{vertex}

where the parameter "a" can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-2)^2+1

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter a:

y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1

The, the final form of the parabola's equation in vertex form is:

y=(x-2)^2+1

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Divide x^4 + 7 by x - 3.
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5 0
3 years ago
I have 2 questions to ask 1 is divide 180 degrees in a ratio of 4,5 and 9
MAXImum [283]

Here's how to do dividing in a certain ratio:

-- You want to divide up the whole thing in the ratio of
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-- How many parts all together ?  (4 + 5 + 9) = 18 parts all together.

-- The whole thing is 180, and that's 18 total parts.
    So each part is  (180/18) = 10 degrees.

4 parts = (4 x 10) = 40
5 parts = (5 x 10) = 50
9 parts = (9 x 10) = 90.

Check:  (40 + 50 + 90) = 180 .                yay!

==============================

For the second one, I think there are some words missing.

5 0
3 years ago
V = u + at<br> u = 2 a = -7 t = 0.5
VashaNatasha [74]

v= u+ at

just put value bruuhh u can't even do this? alright

v=2+ (-7)(0.5)

v= -1.5

8 0
3 years ago
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