Solution for plotting a quadratic graph from an equation

Here is a photo of the solution I came up with... I am not sure if it is correct

Hi! I have been looking at some extra questions for maths and I came up with a solution for this problem, but I am not sure if it is right or not. I had to sketch out a graph for the equation y=x^2+2x-3... Can someone please help me with this?

Did it tell you to complete the square? Are you in Year 12?

Yes, it's correct. Your approach is fine, although you should be able to factorise it by inspection, then assert that the minimum (/ maximum for negative x^2 coefficients) is at the average of the two roots' x coordinates.

No year 10

No year 10

OK - factosing to find the roots is much quicker, Never complete the square unless you are told to.

The x-coord of the turning point is the mean of the roots - then you can substitute to find the y coord. You can see the intersection on the y-axis by inspection.

This website is great for checking graphs - https://www.desmos.com/calculator

Type in the function using the 'x' key on your keyboard

Thank you! I will bare that in mind next time!

If you take A level you will learn another way of finding turning points which is why I asked which year you were in

I'm assuming they are talking about differentiation.

Is it something to do with (-p, q) or is it something completely different?

Use the quadratic formula and you can never go wrong.

Cool! Thanks! I will definitely look into that...