U could use Photomath for that
Point f ends up being (-4,-5)
point d is (-5,-1)
and point e is (4,-1)
Y = a(x + 1.5)^2 - 12.5
y intercept is (0,-8) so:-
-8 = a(0+1.5)^2 - 12.5
-8 = 2.25a - 12.5
a = 4.5/ 2.25 = 2
so we have
y = 2 ( x +1.5)^2 - 12.5
solving for x when y = 0:-
(x + 1.5)^2 = 12.5/2 = 6.25
taking sqrt's x + 1.5 = +/- 2.5
x = -4, 1
so the x intercepts are (-4,0) and (1,0)
Answer:
y= -3x + 5
Step-by-step explanation:
Use the equation of a line formula:
y- y1 = m(x - x1)
where y1 and x1 are the y and x coordinates from the given point (1,2)
So y1= 2
x1= 1
And where m is the slope, -3
Plug in to get y-2 = -3(x-1)
Simplify and solve for y
y= -3(x-1)+2
y= -3x +3 +2
y = -3x + 5