Question

sketch the graph of x^2-25

Answer 1

you understand that this equation is actually:
y = x^2 - 25
Yes?

Answer 2

yes

Answer 3

and that x is the horizontal axis on a cartesian plane
and y is the vertical axis?

Answer 4

so to sketch, make sure you include the main components:
x- axis intercepts (sub in y=0)
y-axis intercept (sub in x=0)
turning point/s (sub in y' = 0)

Answer 5

and a couple of points either side of these to indicate if the slope is getting steeper or shallower

Answer 6

so when y = 0, x = plus or minus 5, so the points 0,5 and 0,-5 are the first 2 you should draw
when x = 0, y =-25, so add -25,0 as another point on the graph

Answer 7

we just learnt today that y=x^2 looks something like this;