Drawing graph (quadratic equation)

[red harbor]

See the given formula on the screenshot. I've solved the x-axis and y-axis.
My question is, why is the graph drawn like that? Thanks in advance

[feral flint]

well, your highest exponent in the formular is 2 which is an idicator that the form of the graph is a parabula, the minus turns it upside down

if you set y = 0 and solve it for x you get the x intercepts

generally, if you want to draw a graph, you can just insert values for x into the graph, and you will get the value for y

[red harbor]

True, thanks.

[red harbor]

What do you mean with: "if you solve x, you get the y intercepts?"

Drawing other "normal" graphs, I hadn't any problem with. But here the X outcomes are "weird" and it gave me an error in my head.

Sorry for my late response btw and thanks for your help!

[red harbor]

t

[feral flint]

sorry little typo

if you set y = 0, you get x intercepts, for x = 0, you get y intecept

the outcomes are a lil weird, but not false

[red harbor]

Ohh men, i'm sorry. I still find it hard to understand. Like on the y-axis the highest point is 6?? Idk why.. Also a 2 on y-axis. That would be obviously the 2 from the equation. On the x-axis there are -1/2 idk why and 2 1/2, idk either... I'm sorry..

In the given equation y = set to 0. So we get x intercept. But an solven equation in that form just gives me an error in my head.

Idk where to look, so i'm able to draw a good graph.