Question

The vertex of the parabola below is at the point
(1, 3), and the point (4, 4) is on the parabola. What is the equation of the parabola?





A. y = 3(x - 1)2 + 3
B. x = 2(y - 3)2 + 1
C. x = 2(y - 1)2 + 3
D. x = 3(y - 3)2 + 1

Answer 1

This is slightly different...notice it is now sideways....this is resulted by switching the 'x' and 'y' and also switching the 'h' and 'k'

x = a(y - k)² + h

same thing for this one....you have a vertex (1,3)(h,k) and you have a point (4,4)(x,y)

plugging those in we have

4 = a(4 - 3)² + 1

solve for 'a'

Answer 2

a is 2?

Answer 3

not quite

4 = a(4-3)² + 1
4 = a(1)² + 1
4 = a(1) + 1
4 = a + 1
a = 3

so if 'a' = 3 ...what is your answer?

Answer 4

D. x = 3(y - 3)2 + 1

Answer 5

Great job!

Answer 6

thanks![=

Answer 7

no problem!

Answer 8

Woah, @johnweldon1993 I just made you 75 with that medal! :D

Answer 9

haha WOO! Thanks for that @Kitt020912 :D been trying all day to get that to 75 :D

Answer 10

I've trying for like ever just to get to 70 o-o

Answer 11

Well hopefully that helps to SOME extent :D @Kitt020912

Answer 12

Lol thanks! :D