The answer would be the last one “The graph shifts 7 units to the left and 8 units up”
Answer:
no real solutions
Step-by-step explanation:
The discriminant is
b^2 -4ac
Where ax^ +bx+c
x^2-3x+4
so a=1 b = -3 c=4
(-3)^2 -4(1)(4)
9 - 16
-7
Since the discriminant is less than 0 there are no real solutions
The equation of a circle is:
(x-h)2 + (y-k)2 = r2
where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:
(x-5)2 + (y-(-4))2 = r2
(x-5)2 + (y+4)2 = r2
So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):
r = [(5-(-3))2+((-4)-2)2]1/2
r = [82 + (-6)2]1/2
r = [64 + 36]1/2
r = 1001/2
r= 10
The final equation is:
(x-5)2 + (y+4)2 = 102
The answer would be b. THis is becuse the second choice has less than or equal to and just less than signs. This is what is shown on the graph. The open circles are the less than sides, and the closed circles mean less than or equal to. Hope this helps.