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pentagon [3]
3 years ago
8

Write the equation of the parabola in vertex form. vertex (2,1) point (3,-3)

Mathematics
1 answer:
Mariana [72]3 years ago
6 0

first off let's notice that hmmm the vertex is above the point (3,-3), so if we "assume" is a vertical parabola, then it'd be opening downwards.... anyhow that said, let's plug in those values.

\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf vertex~~(\stackrel{h}{2}~~,~~\stackrel{k}{1})\qquad \implies \qquad y = a(x-2)^2+1 \\\\\\ \stackrel{\textit{we also know that }}{(3~~,~~-3)} \begin{cases} x = 3\\ y = -3 \end{cases}\qquad \implies -3=a(3-2)^2+1 \\\\\\ -3=a(1)^2+1\implies -3=a+1\implies -4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = -4(x-2)^2+1~\hfill

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I need help with this ASAP please!!
Ilia_Sergeevich [38]

Answer:

Translation 1 unit left

Step-by-step explanation:

we have

f(x)=x

g(x)=(x+1)

we know that

The rule of the transformation of f(x) to g(x) is equal to

f(x) ------> g(x)

(x,y) -----> (x-1,y)

That means----> The translation is 1 unit to the left

6 0
3 years ago
Cedar point is an amusement park located in Sandusky, OH. It's collection of 112 rides is the largest in the world. Of the rides
Agata [3.3K]

Answer:

 32 Roller Coasters

Step-by-step explanation:

There are a total of 112 rides in Cedar Point.

\frac{2}{7} of these rides are roller coasters.

In Algebraic Word Problems, the term "OF" means Multiplication.

Number of Roller Coasters = \frac{2}{7} of 112

                                          =\frac{2}{7} X 112

                                          =2 x 16

                                          =32

There are 32 Roller Coasters in Cedar's point's collection of rides.

8 0
3 years ago
What is the discriminant of the equation 2x^2-4x+1=0
Yanka [14]

Answer:

8 i think

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
30 POINTS!!!! EXPLAIN!
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Answer:

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Explanation:

f(x+2) means replace all the  xs  with  (x+2)

f(x)=3x+4

f(x+2)=3(x+2)+4

Now simplify

f(x+2)=3x+6+4

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7 0
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What are 5/6 and 7/9 written with their least common denominator (LCD)?
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