Solving by Factoring
h=x2-5x-14
What is the y-intercept?
-14
A rocket is launched with an initial upward velocity of 250 feet per second from a 3 foot launch pad.
h = -16t2 + 250t + 3
The equation h=-16t2+198t+25 represents the height of a diver jumping off a cliff after t seconds. What is the height of the diver after 5 seconds?
615 ft.
Describe the type of each function (linear or quadratic). a) y=3x+4 b) y=4x2+2x+7
a) linear b)quadratic
x2+6x+9=0
{-3}
h=-16t2+4t+4
What is the initial velocity or rate of change?
4
A rocket is launched with an initial upward velocity of 100 feet per second from the ground.
h = -16t2 + 100t
A ball being thrown in the air can be modeled by the equation h=-4.9t2+14t+49. where h represents height in feet and t represents time in seconds. How long does it take for the ball to reach its maximum height?
1.43 sec
Find the y-intercept of each function a) y=5x-7 b) y=4x2+2x+7
a) -7 b) 7
2x2-18=0
{-3,3}
h=2t2+2t+12
What is the axis of symmetry?
-1/2
A penny is dropped off the Empire State Building, which is 1,000 feet tall.
h = -16t2 + 1000
The equation -15t2+60t+3 represents the height of a water balloon at t seconds. How long will it take for the water balloon to hit the ground?
4.049 seconds
What is the shape of the graph of the following function? a) linear b) quadratic
a) straight line b) parabola/ U-shaped
x2-5x-14=0
{7,-2}
y=x2-5x-14
If x=7, what is the vertex?
-2
A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s.
h = -16t2 + 10t + 25
The equation P=-3x2+12x+2 represents the amount of P profit for the x cost of an item. What is the maximum profit for the sale if the item?
$14
Find the rate of change or the common ratio for the following functions. a) y=8x-2 b) y=4x2+2x+7
a) 8 b) 2
2x2+2x-12=0
{2,-3}
y=9x2+4x-16
What are the zeros/solutions?
{1.13, -1.57}
A football is kicked up from ground level at an initial upward velocity of 20 feet per second. The function h(t) = -4t2+20t gives the height of the football after t seconds. When is the ball 16 feet high?
1 second
h=-16t2+64t+80 represents the height of a rocket at t time in seconds. How long does it take the rocket to reach 100ft on its accent.
.34 seconds
Billy launched a toy rocket in his back yard. The height of the rocket is modeled by the function h(t) = -16t² + 120t + 3. What is the height after (a) 1 second? (b) 5 seconds?
a)107 b)203