General questions
Does the function f(x)=3x2+12x+10 have a maximum or a minimum?
minimum
Identify the solution(s) to the following function:
f(x) = x2+8x+16
x=-4
Find the vertex:
y=x2+2x+3
(-1,2)
Jane is standing on a platform above a pool. She jumps from the platform, and her height after t seconds is given b the function:
h(t)=-16t2+8t+24
How high is she after 1 second?
16 feet
Factor b2 + 8b + 7
(b + 7)(b + 1)
Does the function f(x)=2-4x-2x2 have a maximum or a minimum?
maximum
Identify the solution(s) to the following function:
f(x) = x2-121
What is x=11 and x=-11
Find the y intercept
f(x)=x2+2x-1
Jane is standing on a platform above a pool. She jumps from the platform, and her height after t seconds is given b the function:
h(t)=-16t2+8t+24
When does Jane reach her maximum height?
.25 seconds
Factor m2 + m − 90
(m − 9)(m + 10)
In the motion problem, h(t)=-16t2+16t+45, what is the initial height of the object which is moving?
45 feet
Solve the following quadratic equation
f(x) = x2-8x+16
What is x=4
Is it a max or min and what is the vertex
y=-2x2+8x-4
What is a maximum at (2,4)
Jane is standing on a platform above a pool. She jumps from the platform, and her height after t seconds is given b the function:
h(t)=-16t2+8t+24
What is her maximum height?
25 feet
Factor b2 + 16b + 64
(b + 8)2 or (b+8)(b+8)
In the motion equation h(t)=-16t2 +20t+100, what does the number 20 represent?
The initial velocity
Solve this quadratics by factoring to find the x-intercepts.
x2 + 2x = 3
x = 1 or x = -3
What are the x intercepts
y=x2-x+5
no x intercepts
Jane is standing on a platform above a pool. She jumps from the platform, and her height after t seconds is given b the function:
h(t)=-16t2+8t+24
When does Jane hit the water?
1.5 seconds
Factor 5v2 − 30v + 40
5(v − 2)(v − 4)
Bob hits a golf ball upward off the top of a building that is 100 feet high with an initial velocity of 74 feet per second. Give a function h(t) that describes the height of the ball after t seconds.
h(t)=-16t2+74t+100
Solve this quadratics by factoring to find the x-intercepts.
X2 + 16 = 10x
x = 2 or x = 8
Find the vertex, x intercept and y intercept.
f(x)=-3x2+3x+2
vertex (1/2, 11/4)
x intercept -.457 and 1.457
y intercept (0,2)
Jane is standing on a platform above a pool. She jumps from the platform, and her height after t seconds is given b the function:
h(t)=-16t2+8t+24
When does Jane reach a height of 10 feet above the water?
1.2 seconds
f(x) = x2 + x +24
(0, 24)