Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k
we have some points
(3,-2) and (6,-26)
input and solve for a and k
(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k
(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k
we have
-2=a+k
-26=4a+k
multiply first equation by -1 and add to second
2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k
-24=3a
divide both sides by 3
-8=a
-2=a+k
-2=-8+k
add 8 to both sides
6=k
the equation is
4 > x
step by step explanation:
13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x
Answer:
Out of every 5 rectangles 2 shall be purple.
3 scarves have 3 times 5 rectangles.
Thus they shall be 3 times 2 that are purple.
Step-by-step explanation:
Answer:
9 feet 1 inch
Step-by-step explanation:
So, to get the answer we want to add the heights of the boxes.
2 feet, 4 inches + 2 feet 11 inches = 4 feet 15 inches. 4 feet 15 inches + 3 feet 10 inches = 7 feet and 25 inches. 25 inches is equal to 2 feet and 1 inch, so we end up with 9 feet and 1 inch as our answer.
The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept.