Mathematics, 31.07.2019 04:30 ethanyayger
Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. what is the standard form of the equation?
Answers: 1
![\bf ~~~~~~\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~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ vertex~(-3,4)\quad \begin{cases} x=-3\\ y=4 \end{cases}\implies \stackrel{f(x)}{y}=a[x-(-3)]^2+4 \\\\\\ y=a(x+3)^2+4 \\\\\\ \textit{we also know that }(-1,0)\quad \begin{cases} x=-1\\ y=0 \end{cases}\implies 0=a(-1+3)^2+4 \\\\\\ -4=4a\implies -1=a\qquad therefore\qquad y=-(x+3)^2+4](/tpl/images/0153/0836/00902.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:20
The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.
Answers: 3
Mathematics, 21.06.2019 17:00
Write a story that matches with the expression 42x-5 pls hurry
Answers: 1
Mathematics, 21.06.2019 19:40
If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2
Answers: 1
Mathematics, 21.06.2019 20:00
Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?
Answers: 3
You know the right answer?
Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as...
Questions
Mathematics, 23.06.2019 23:00
English, 23.06.2019 23:00
Mathematics, 23.06.2019 23:00
Mathematics, 23.06.2019 23:00
Mathematics, 23.06.2019 23:00
Health, 23.06.2019 23:00
Mathematics, 23.06.2019 23:00
Mathematics, 23.06.2019 23:00
