Mathematics, 20.06.2019 18:02 blakemccain1928
What is the equation of a parabola y(x) that has a vertex at point (− 1/3 , 0.3) and passes through point (− 2/15 , − 1/2 ).
Answers: 1
![\bf ~\hfill \textit{parabola vertex form}~\hfill \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{we'll use this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-\frac{1}{3}}{ h},\stackrel{\frac{3}{10}}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y=a\left[ x-\left( -\cfrac{1}{3} \right) \right]^2+\cfrac{3}{10}\implies y=a\left( x+\cfrac{1}{3} \right)^2+\cfrac{3}{10}](/tpl/images/0000/0706/46b89.png)
![\bf \textit{we also know a point } \begin{cases} x=-\frac{2}{15}\\\\ y=-\frac{1}{2} \end{cases}\implies -\cfrac{1}{2}=a\left( -\cfrac{2}{15}+\cfrac{1}{3} \right)^2+\cfrac{3}{10} \\\\\\ -\cfrac{1}{2}-\cfrac{3}{10}=a\left( \cfrac{1}{5} \right)^2\implies -\cfrac{4}{5}=a\left(\cfrac{1}{25} \right)\implies -\cfrac{4}{5}=\cfrac{a}{25}\implies \cfrac{-4\cdot 25}{5}=a \\\\\\ -4\cdot 5=a\implies \boxed{-20=a} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-20\left( x+\cfrac{1}{3} \right)^2+\cfrac{3}{10}~\hfill](/tpl/images/0000/0706/9d746.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:00
1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.
Answers: 1
Mathematics, 21.06.2019 15:10
Which of the following is a justification used while proving the similarity of triangles lom and mon
Answers: 1
Mathematics, 22.06.2019 00:20
Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b} c) {1, 2, 3, 4} show steps
Answers: 1
Mathematics, 22.06.2019 01:50
The area of each triangle is 7 square units. the surface area of the triangular prism is
Answers: 1
You know the right answer?
What is the equation of a parabola y(x) that has a vertex at point (− 1/3 , 0.3) and passes through...
Questions
Mathematics, 31.05.2020 09:58
Mathematics, 31.05.2020 10:57
Mathematics, 31.05.2020 10:57
Mathematics, 31.05.2020 10:57
Mathematics, 31.05.2020 10:57
History, 31.05.2020 10:57
