Thanks in advance for the help!
So the online lesson I'm taking didn't explain how to solve parabola's in equation form very well, and didn't explain how to graph a parabola at all, so I was hoping I could get some detailed explanations on here if it's not too much trouble!
Alright, so they give me a table, and they give me the equation:
y = 3(x - 5)(x - 17)
Then they ask for five things, the Zeros, the Axis of Symmetry, the Vertex, if its a Maximum or minimum parabola, and the Maximum or minimum value.
In my mind, the zeros would be -5 and -17 in this equation, but they say that the zeros are 5 and 17. Also, in other equations, for example if that equation was "y = 3(x + 5)(x + 17), then they say the zeros would be -5 and -17. That doesn't make sense to me, so an explanation here would be really nice.
I understand how to get the axis of symmetry, just take the zeros, add them together and divide by 2.
They say the vertex is (11, -108) but I don't understand how they get -108.
I don't understand why its a minimum since the thing with the 0's is confusing me. If the zero's were negative numbers then I would understand why its a minimum, but they're saying the zeros are positives, so in my head, that would make it a maximum.
I don't really understand how I would turn this equation into a graph either, I don't know how I would solve for "x".
I don't need the answers, what I need is to understand how to get to the answers, so anyone who could explain it nicely would be very much appreciated