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a_sh-v [17]
2 years ago
7

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin

t (1, -10)?
Mathematics
1 answer:
yarga [219]2 years ago
5 0

~~~~~~\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] ~\dotfill

\begin{cases} h=3\\ k=-7 \end{cases}\implies y=a(x-3)^2-7\qquad \textit{we also know that} \begin{cases} x=1\\ y=-10 \end{cases} \\\\\\ -10=a(1-3)^2-7\implies -3=a(-2)^2\implies -3=4a\implies -\cfrac{3}{4}=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{3}{4}(x-3)^2-7~\hfill

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Could someone please help me figure out how to set up the equation for this problem? Thanks!
faust18 [17]

Answer:

12

Step-by-step explanation:


The sum of the measures of the interior angles is given by:


(n-2)*180\\


n:sides of the polygon


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6 0
3 years ago
The difference between a number divided by 3 and 4 is 20.
Alexxandr [17]
Let, the number be "a"

Now, according to the question,
\frac{a}{3} - 4=20

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So, the number is 72

7 0
3 years ago
Read 2 more answers
Solve for the variable r
Sonja [21]

Answer:

see explanation

Step-by-step explanation:

Given

V = πr²h ( isolate r² by dividing both sides by πh )

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3 0
3 years ago
(-9,7), (6,2) write an equation in point-slope form of the line that passes through the given points, then write the equation in
skelet666 [1.2K]

Answer:

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y = -1/3 * (x + 9) + 7

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5 0
3 years ago
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Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

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5 0
3 years ago
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