Help.

Which part are you struggling on?
What have you tried so far?
Do you understand transformations of graphs?

1)expand the brackets and plot the quadratic curve
2)transform the graphs- if you can’t then you’ll need to learn that first
3)then just find the equations of the new curves

Which part are you struggling on?
What have you tried so far?
Do you understand transformations of graphs?

I’ll look into transformations,I need help for b and c.

If you look at transformations of graphs you can easily answer part b

1)expand the brackets and plot the quadratic curve
2)transform the graphs- if you can’t then you’ll need to learn that first
3)then just find the equations of the new curves

If you look at transformations of graphs you can easily answer part b. Then once you have sketched them work out the new equation of the curve

I managed to plot the graph for the horizontal translation but need help on how to plot the vertical translation.

f(x)+2 means the graph translates upwards by 2 units. This can be achieved by isolating specific points on the graph and moving them 2 places upwards then redrawing the graph. Essentially you are just adding 2 to each y coordinate

So that’s how they got this?

Looks incorrect to me. f(x)+2 does not effect your x coordinates therefore the roots of the curve should still be at (-2,0) and (1,0) which is not the case in that diagram

Thanks a lot,I got the same points but was comparing to the answer in this edexcel book making me feel like I got it incorrect.

Sorry mate I’m a bit confused now. f(x) + a means a translation in the y direction by a vector (0,a) so you add ‘a’ amounts to each y coordinate. But when I used my graphical calculator I get the same graph you provided in the diagram so I’m confused now mate, sorry

I’m confused as well mate,maybe you know some people who can help? Or will you be able to get the answer?

Sorry mate I’m a bit confused now. f(x) a means a translation in the y direction by a vector (0,a) so you add ‘a’ amounts to each y coordinate. But when I used my graphical calculator I get the same graph you provided in the diagram so I’m confused now mate, sorry.

Edit: I have a strange feeling I’ve been taught this wrong. I believe they got that answer in the diagram by multiplying out the brackets, adding 2 to the result then factorising again to get the new roots. I believe this is the way it’s been done and is the correct way. Sorry for the hassle, I blame my teacher 😞.

CORRECT METHOD:
Expand f(x) to get x^2 x -2. You then need to add 2 since it wants the function of x and 2 more. This now cancels to get x^2 x. We set this to zero if we want the roots. We factorise to get x(x 1)=0 giving us roots of (0,0) and (-1,0).

Thanks a lot bruv.