Question

What is the line of symmetry?
https://media.glynlyon.com/g_alg02_ccss_2013/8/equation_parabola.gif
x-axis

y-axis

x = p

x = -p

Answer 1

\(\bf y=\cfrac{1}{4p}x^2\implies 4py=x^2\implies 4p(y-{\color{blue}{ 0}})=(x-{\color{blue}{ 0}})^2\)

what do you think it's?

Answer 2

I think it's x=p

Answer 3

do you know where the vertex is at?

Answer 4

no, but I know it's not y-axis

Answer 5

hehe

Answer 6

\(\bf y=\cfrac{1}{4p}x^2\implies 4py=x^2\implies 4p(y-{\color{blue}{ 0}})=(x-{\color{blue}{ 0}})^2\qquad {\color{blue}{ vertex}}\)

so... what do you think is the axis of symmetry?

Answer 7

x=-p

Answer 8

Y-axis was my 1st answer but it was incorrect

Answer 9

notice, the "x" is the squared term
meaning, the parabola is going upwards or downwards

and the coefficient of the leading term is positive

Answer 10

hmm

Answer 11

the 4p is simply going to make WIDER but the vertex would still be the origin
and the leading term coefficient is positive, so is going upwards

Answer 12

so it would be x-axis??

Answer 13

so it would be on the x axis but the line of symmetry would be x=p

Answer 14

@jdoe0001

Answer 15

hmmm on the x-axis? it'd be the y-axis