Question

What is the equation of the following graph in vertex form?
I'm really lost

Answer 1

general form for the vertex form 0f a parabola ids

y = a(x - b)^2 + c where (b,c) are the coordinates of the vertex and a is some number

Answer 2

Here (b , c) = (-1,0)

Answer 3

so plug in these 2 values into the general form and what do you get?

Answer 4

just replace b by -1 and c by 0

Answer 5

I got y=a(x+1)^2+0

Answer 6

correct!
we can forget about the 0 of course and write:-

y = a(x + 1)^2

now the graph passes though the y axis at the point (0 , 1) so we can find the value of a

by replacing the x and y by 0 and 1 in the above equation and solve for a.
can you do that?

Answer 7

I'll try working that out now

Answer 8

would it just be a=1 ?

Answer 9

yes


so the equation is simply y = (x + 1)^2

Answer 10

Thank you so much! I understand it a lot better now