Quadratic Function Mini Project
by: Luke Stroud
Quadratic: x^2+7x-3
Y Intercept: (0,-1.5)
X Intercept: (.2,0) (-3.8,0)
Domain: (R,R)
Range: (R,-15.25)
AOS: x=-1.75
Y=x^2+7x-3
Y+3=x^2+7
Y+15.25=x^2+7+12.25
Y+15.25=(x+3.5)^2
Y=(x+3.5)^2-15.25
The x is positive so the graph is gonna open upwards.
Quadratic: -x^2+3x-5
Y Intercept: (0,-2.5)
X Intercept: None
Domain: (-infinite, infinite)
Range: (R,-2.75)
AOS: x=.75
Y=-x^2+3x-5
y+5=-x^2+3x
Y+7.25=x^2+3x+2.25
Y+7.25=(x+1.5)^2
Y=(x+1.5)^2-7.25
The x is negative so the graph is gonna open up going down instead of up.