Mathematics, 29.11.2021 03:40 eturner518
Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below. The graph shows a downward facing parabola with vertex (negative 3, 4) and y-intercept (0, negative 5).
Answers: 2
![~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill](/tpl/images/2572/6958/ef08f.png)
![(\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft](/tpl/images/2572/6958/97d84.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:50
An angle that measures between 90 and 180° is called a(,
Answers: 2
Mathematics, 21.06.2019 17:30
Nine more than four times a number is the same as one less than twice the number. find the number?
Answers: 1
Mathematics, 21.06.2019 18:00
1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.
Answers: 3
Mathematics, 22.06.2019 00:30
Asalsa recipe uses green pepper, onion, and tomato in the extended ratio 3: 5: 7. how many cups of tomato are needed to make 105 cups of salsa? a. 7 b. 21 c. 35 d. 49
Answers: 3
You know the right answer?
Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below.
The graph shows a...
Questions
History, 20.07.2019 10:30
Health, 20.07.2019 10:30
Biology, 20.07.2019 10:30
History, 20.07.2019 10:30
Biology, 20.07.2019 10:30
Social Studies, 20.07.2019 10:30
History, 20.07.2019 10:30
History, 20.07.2019 10:30
History, 20.07.2019 10:30
