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liubo4ka [24]
4 years ago
10

Can someone help me please

Mathematics
1 answer:
yuradex [85]4 years ago
4 0
I don't know what to do
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determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
LuckyWell [14K]
Hmmm the y-intercept is at -2?  what does that mean?  well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at.  Let's assume a vertical parabola, in which case the squared variable is the "x".

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}
6 0
4 years ago
What number is 33% of 360 equation
ziro4ka [17]
33%of360=118.8
equation: 33% of 360= 360*33%=118.8
7 0
3 years ago
Read 2 more answers
Follow the steps to finish solving the equation -3x +18 = 7x
antiseptic1488 [7]

Answer:

hgshajshvaviahavhwuwhvwhhwzhzhhzvhappy

5 0
2 years ago
Read 2 more answers
Mrs. Ham is planning a party for students who have met their goal of reading seven books during the most recent eight weeks of v
djyliett [7]

Answer:

8 pizzas and 32 drinks

Step-by-step explanation:

12 times 8 equals 96

0.50 times 32 equals 16

96 plus 16 equals 112

7 0
4 years ago
Hannah sells real estate. She is paid 4% of the sale price of every house she sells. What is Hannah paid for selling a house at
Mariulka [41]

Answer:

$11,000

Step-by-step explanation:

275,000×4% = 11,000

8 0
3 years ago
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