Axis of Symmetry/Vertex
x2+8x+15
x = -4
(-4,-1)
x2 + 4x + 3 = 0
X = -3, -1
X2 - 8x - 20 = 0
X = 10,-2
The dimensions of a rectangle can be expressed as X+3 and X-8. If the area of the rectangle is 60 square inches, what is the value of x?
X = 12
When a cannonball is fired, the equation of its pathway can be modeled by h = -16t2 + 128t. Find the maximum height.
256 feet
-x2+10x-23
X = 5
(5,2)
X2 + 4x + 17 = 8 - 2x
X = -3
The dimensions of a rectangle can be expressed as X and X+7. If the area of the rectangle is 78 square meters, what is the value of x?
X=6
When a cannonball is fired, the equation of its pathway can be modeled by h = -16t2 + 128t. Find the time it will take for the cannonball to reach the ground.
8 seconds
X2 - 4x - 2
X = -2
(-2,2)
-X2 + 12 = 9x
-10.18 , 1.18
The length of a rectangular garden is 4 meters more than its width. The area of the rectangle is 60 meters. Find the dimensions of the rectangle.
6m x 10m
A toy rocket is launched from a platform that is 48 feet high. The rockets height above the ground is modeled by h = -16t2 + 32t + 48. Find the maximum height of the rocket.
64 feet
x2 - 4
X = 0
(0,-4)
3x2 + 15x = 0
X = 0,-5
-X2 + 7x - 18 = 0
No Solution
The dimensions of a rectangle can be given by X+7 and X+2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?
11in x 6in
A toy rocket is launched from a platform that is 48 feet high. The rockets height above the ground is modeled by h = -16t2 + 32t + 48. Find the time it will take for the rocket to hit the ground.
3 seconds
2x2 + 10 = 12x
X = 3
(3,-8)
9x2 = 36x
4x2 +9x = 12x
X = 3/2
The length of a rectangle is 1 meter less than its width. The area of the rectangle is 42 square meters. Find the dimensions of the rectangle.
7m x 6m
When joey dives off a diving board, the equation of his pathway can be modeled by h = -16t2 +15t + 12. Find Joey's maximum height.
15.52 feet