Roots (Zeros)
What are the Roots (zeros) of the following quadratic equation?
f(x)=x2+3x+2
x= -2, -1
What is the vertex of the following quadratic equation?
f(x)= x2+2x+4
Vertex= (-1,3)
What is the vertex of the quadratic equation in vertex form?
f(x)= (x-3)2+2
Vertex= (3,2)
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The equation that gives the height (h) of the ball at any time (t) is: h(t)=-16t2+40t+1.5.
How long was the ball in the air?
The ball took 2.537 secs.
What are the Roots (zeros) of the following quadratic equation?
f(x)=x2-5x-24
x= -3, 8
What is the vertex of the following quadratic equation?
f(x)=x2-6x+13
Vertex= (3,4)
What is the vertex of the quadratic equation in vertex form?
f(x)=(x+4)2+6
Vertex= (-4,6)
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16t2+16t+480. What was Jason's maximum height?
Jason's maximum height was 484 feet.
What are the Roots (zeros) of the following quadratic equation?
f(x)=x2-11x+30
x= 6, 5
What is the vertex of the following quadratic equation?
f(x)=-4x2+32x-60
Vertex= (4,4)
What is the vertex of the quadratic equation in vertex form?
f(x)=4(x-7)2-6
Vertex= (7,-6)
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)=–4.t2+19.6t+58.8. How long was the object in the air?
The object was in the air for 6 secs.
What are the Roots (zeros) of the following quadratic equation?
2x2+9x-5
x= -5, 0.5
What is the vertex of the following quadratic equation?
f(x)=-4x2-20x-30
Vertex= (-2.5,-5)
Write an equation in vertex form that has the vertex of (-8,12).
f(x)= a(x+8)2+12
An object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The object's trajectory is represented by h(t)=-16t2+64t+80. What will be the object's maximum height?
The maximum height is 144 feet.
What are the Roots (zeros) of the following quadratic equation?
f(x)=-4x2-20x-30
No Solution
What is the vertex of the following quadratic equation?
f(x)=-10x2+85x-175
Vertex= (4.25,5.625)
Write an equation in vertex form that has the vertex of (9,-200).
F(x)= a(x-9)2-200
An olympic diver is diving off of a diving board that is 250 feet high. If the diver's jump is represented by h(t)=-16t2+60t+250, how long did it take for the diver to hit the water?
The diver hit the water after 6.25 seconds.