Quadratics

General questions

100

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

minimum

200

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

maximum

300

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

45 feet

400

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

The initial velocity

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

Find the vertex (no calculator)

100

Find the vertex:

f(x)=(x-2)²+3

(2,3)

200

Find the vertex: 

f(x)=x²-5

(0,-5)

300

Find the vertex: 

f(x)=x²+6x+11

(-3,2)

400

Find the vertex:

y=-x²-14x-59

(-7,-10)

500

Find the vertex:

y=x²-5x+4

(5/2,-9/4)

Find the vertex (calculator allowed)

100

Find the vertex:

y=x²+2x+3

(-1,2)

200

Find the vertex:

f(x)=x²+2x-1

(-1,-2)

300

Find the vertex:

y=-2x²+8x-4

(2,4)

400

Find the vertex:

y=x²-x+5

(1/2,19/4)

500

Find the vertex:

f(x)=-3x²+3x+2

(1/2, 11/4)

Vertical Motion problems

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

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

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

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

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

Write the equation

100

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

f(x)=(x-3)²+5

200

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

y=(x+1)²

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

Write the standard form of a parabola with equation:

f(x)=-2x²+8x-4

y=-2(x-2)²+4

500

Write the standard form of a parabola with equation:

f(x)=3x²+9x+3

y=3(x+3/2)²-15/4