this week in math Precalc I learned about radicals and how to graph them
for example y=

so first you want to graph the parent function 2x+5

now you want to look for your invariant points (-1 and +1) then you want to draw two L shapes not touching the x-intercept or the x=x int asymptotes making this

the red line doesn’t actually touch the x int even if it looks like it does because a radical is just flipping the numbers 2 is now 1/2.

in this week we learned how to graph absolute values

for the first example a linear line y=|x+3|

so first you just graph the parent function y=x+3

when it touches the x-intercept it has to go back up because it always has to stay positive

the right side stays the same because it’s positive and the left side just flips making a v shape

we also learned the absolute value of parabolas, for example, y=|x^2 -3|

so you want to draw the parent function again and just flip the negative parts so they are positive making a w shape