What is the axis of symmetry of the following function?
y=-x2+3x+10
(2x2+3x-7)+(3x2-4x-10)
5x2-x-17
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in feet above the ground after t seconds is modeled by h=40+120t-16t2
From what height was the pumpkin launched at t=0?
40 feet
Factor the following Quadratic Equation
x2-16=0
(x+4)(x-4)
Solve the following Quadratic Equation
x2-16=0
x=-4 and x=4
A parabola that opens upwards has a vertex that represents the maximum or minimum
What is the minimum?
What is the axis of symmetry of the following function?
y=3x2-12x+10
What is x = 2
(5x2-12x+1)-(2x2+3x-7)
3x2-15x+8
The dimensions of a garden are length=(x + 9) and width=(2x + 8). What is the area of the garden?
A=(x + 9)(2x + 8)
Factor the following Quadratic Equation
x2+7x+10=0
(x+5)(x+2)
Solve the following Quadratic Equation
x2+7x+10=0
x=-5 and x=-2
The name of the line drawn through the middle of a parabola dividing it into 2 equal parts
What is axis of symmetry?
What is the vertex of the following function?
y=3x2-12x+10
what is (2, -2)
Find the product of (3x-5)(x-8)
3x2-29x+40
A pumpkin was launched. It's trajectory is modeled by f(t) = -16t2 + 32t + 1
Find its maximum height in feet
What is y = 17 feet
Factor the following Quadratic Equation
2x2-7x-15=0
(2x+3)(x-5)
Solve the following Quadratic Equation
2x2-7x-15=0
x=-3/2 and x=5
The formula for the x value of the vertex
what is -b/2a
What is the vertex of the function?
y= x2 + 2x+5
What is (-1, 4)
Find the product of (2x-4)(x+3)
2x2+2x-12
A flare is launched up with an initial velocity of 64 feet per second from the top of a 200 foot building. The equation h(t)=-16t2+64t+100 models this situation.
Determine the maximum height of the flare
164 feet
Factor the following Quadratic Equation
10x2+17x+3=0
(2x+3)(5x+1)
Solve the following Quadratic Equation
9x2-9x+2=0
x=1/3 and x=2/3
What is the quadratic equation for the parabola below?
y=-(x2 - 2x - 3)
What are the x-intercepts of the following function?
y=-x2+3x+10
x=-2 and x=5
Find the product of (3x-4)2
9x2-24x+16
At a swim meet, Janet dives from a diving board that is 20 feet high. Her position above the water is represented by the equation y=-4x2+12x+40, where x represents the time in seconds and y represents the height above the water.
After how many seconds does Janet enter the water? (hint: when y=0)
5 seconds
The area of a rectangle is represented by the equation 3x2+17x+10. Find the dimensions of the rectangle in terms of x.
(x+5)(3x+2)
Solve the following Quadratic Equation
2x2+5x-3=0
x=-3 and x=1/2
The y-intercept of the quadratic x2 + 90x +100
What is 100?