This is a parabola, first, locate the line of symmetry.
the line of symmetry is x=-b/2a
in this case, b=-2, a=-1, so the line of symmetry is x=-1
when x=-1, f(x)=-(-1)²-2(-1)-3=-2
locate the point (-1,-2) on the grid. this point is the vertex.
get two pairs of points with x=-1 as the symmetry line:
(0, -3) and (-2, -3); (1,-6) and (-3,-6)
connect these five points into a parabola, stick out at the ends because it will extend forever downward.
Answer:
The distance between point A and point B is 12 units.
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
d = √(-8 - 4)² + (6 - 6)²
d = √144 + 0
d = 12
Answer:

Step-by-step explanation:
the formula of a circle is

knowing the values of h, k, and r we can substitute them into the formula
knowing the
Answer:
c = 12
Step-by-step explanation:
3(c - 4) = 4(c - 6)
Use the distributive property on each side.
3c - 12 = 4c - 24
Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.
3c - 4c - 12 + 12 = 4c - 4c - 24 + 12
Combine like terms on each side.
-c = -12
Multiply both sides by -1.
c = 12
-5 is on the left side of zero (negative) and 5 is on the right side of zero (positive). So, 5 is the answer...