General questions
Find the vertex (no calculator)
Find the vertex (calculator allowed)
Vertical Motion problems
Write the equation
100

Does the function f(x)=3x2+12x+10 have a maximum or a minimum?

minimum

100

Find the vertex:

f(x)=(x-2)2+3

(2,3)

100

Find the vertex:

y=x2+2x+3

(-1,2)

100

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

100

Write a quadratic equation with a vertex of (3,5)

f(x)=(x-3)2+5

200

Does the function f(x)=2-4x-2x2 have a maximum or a minimum?

maximum

200

Find the vertex: 

f(x)=x2-5

(0,-5)

200

Find the vertex:

f(x)=x2+2x-1

(-1,-2)

200

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

200

Write the quadratic equation with the vertex (-1,0).

y=(x+1)2

300

In the motion problem, h(t)=-16t2+16t+45, what is the initial height of the object which is moving?

45 feet

300

Find the vertex: 

f(x)=x2+6x+11

(-3,2)

300

Find the vertex:

y=-2x2+8x-4

(2,4)

300

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

300

Write the equation of a parabola with a vertex of (-2,-10) and a vertical stretch of 2.

y=2(x+2)2-10

400

In the motion equation h(t)=-16t2 +20t+100, what does the number 20 represent?

The initial velocity

400

Find the vertex:

y=-x2-14x-59

(-7,-10)

400

Find the vertex:

y=x2-x+5

(1/2,19/4)

400

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

400

Write the standard form of a parabola with equation:

f(x)=-2x2+8x-4

y=-2(x-2)2+4

500

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

500

Find the vertex:

y=x2-5x+4

(5/2,-9/4)

500

Find the vertex:

f(x)=-3x2+3x+2

(1/2, 11/4)

500

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

500

Write the standard form of a parabola with equation:

f(x)=3x2+9x+3

y=3(x+3/2)2-15/4

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