Vertex & Min/Max
Find the Vertex of the following equation and identify if it is a minimum or maximum.
f(x) = -3x2+12x+1
MAX with vertex (2,13)
For the equation y = 5(x-8)2-1 what is the vertex, axis of symmetry, direction, and max/min label?
What is (8,-1)....x=8....UP....MIN
The value "k" in the vertex form equation for a parabola y = a(x-h)2+k will tell you if the graph has moved in what directions?
What is Up or Down
Throwing a ball into the air is represented by the equation h(t)= -8(x-3)2+33
How long does it take to reach its max height?
What will the max height equal?
3 seconds & 33 feet
35 + (23-20)2
What is 44
Find the Vertex of the following equation and identify if it is a minimum or maximum.
f(x) = 2(x-4)2+3
MIN with vertex (4,3)
For the equation y = -2(x+12)2+3 what is the vertex, axis of symmetry, direction, and max/min label?
What is (-12,3)....x=-12....DOWN....MAX
The value "h" in the vertex form equation for a parabola y = a(x-h)2+k will tell you if the graph has moved in what directions?
What is left or right
Throwing a hat into the air is represented by the equation h(t)= -2(x-11)2+120?
What will the height equal after 16 seconds from throwing it?
70 feet
78(2) -93
63
Find the Vertex of the following equation and identify if it is a minimum or maximum.
f(x) = x2-8x-7
MIN with vertex (4,-23)
For the equation y = -(x+4)2-4 what is the vertex, axis of symmetry, direction, and max/min label?
What is (-4,-4)....x=-4....DOWN....MAX
The graph of the function y = x2-5 is shifted five units in which direction
What is down
Throwing a shoe into the air is represented by the equation h(t)= -8(x-2)2+95
How long does it take to reach its max height?
What will the max height equal?
2 seconds & 95 feet
950-52+3
928
Find the Vertex of the following equation and identify if it is a minimum or maximum.
f(x) = -4x2+11
MAX with vertex (0,11)
For the equation y = 9(x-5)2+7 what is the vertex, axis of symmetry, direction, and max/min label?
What is (5,7)....x=5....UP....MIN
The graph of the equation y = -6(x+9)2 +4 is shifted 9 units which direction?
What is left
Throwing a hat into the air is represented by the equation h(t)= -3(x-7)2+76?
What will the max height equal after 11 seconds from throwing it?
What is 28 feet
Find the Vertex of the following equation and identify if it is a minimum or maximum.
f(x) = -9(x-6)2+4
minimum (6, 4)
axis of symmetry x = -1
For the equation y = 4x2-48x-1 what is the vertex, axis of symmetry, direction, and max/min label?
What is (6,-145)....x=6....UP....MIN
The graph of y=(x-3)2 +6 is shifted 3 units in this direction and 6 units in which direction?
(2 separate answers)
What is 3 right and 6 up
The yearly profits for a restaurant is represented by the equation p(t)= 4x2-8x+950
How long does it take to reach its minimum profit?
What will the min profit equal?
1 year & $946