Umm, I Have Standards...
Taken to the Max! (or Min!)
We've Reached the Turning Point...
No Problems, Only Solutions (zeroes)
Oh, Word!
(problems)
100

Rewrite the expression in standard form:

-3x + 2x2 + 17


2x2 - 3x + 17

100

If my leading coefficient is positive (a > 0), then the parabola faces _____________

Upward  

100

What is the Vertex of the parabola below?


Vertex (Minimum):

(3, -1)

100

How many x-intercept(s) exist for the Quadratic Equation below:


1 x-intercept at the Origin (0,0)

(vertex "scrapes" x-axis)

100

The height of a diver is illustrated by the graph below:

How many seconds does it take for the diver to reach the surface of the pool?

It takes 3.5 seconds (x-intercept/zero/solution)

200

Rewrite the quadratic equation, in standard form:

5x2 - 12 = 4x

5x2 - 4x - 12 = 0

200

If my leading coefficient is negative (a < 0), then the parabola faces ___________________

Downward   

200

What is the equation of the Axis of Symmetry of the graph below?


Axis of Symmetry: 

x = 3

200

What are the solutions to the quadratic equation below:


Solutions

(-3 , 0) and (-5 , 0)

{-3 , -5}

200

A model rocket is launched from the roof of a building. Its flight path is modeled by 

h(t) = -5t2 + 30t + 10 

where h(t) is the height of the rocket above the ground in meters, and t is the time after the launch in seconds.

What is the initial height of the rocket when it was launched?

 

Initial Height (y-intercept):

10 meters

300

Rewrite the quadratic equation, in standard form:

4x - 5 = 6x2 + 3x - 1

6x2 - 1x + 4 = 0

300

If a parabola opens upward, then the parabola has a maximum / minimum (Choose One)

Minimum

 

300

Determine the Axis of Symmetry from the equation below:

x2 - 8x + 13 = 0

Axis of Symmetry:

x = 4

300

Find the zeroes of the following quadratic equation:

y = (x - 4)(x + 5)

Zeroes:

x = 4   and   x = -5

300

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball’s height always decreasing?

  1. 0 ≤ x ≤ 2.5

  2. 0 < x < 5.5

  3. 2.5 < x < 5.5

  4. x ≥ 2

Choice 3: 2.5< x< 5.5


400

Rewrite in standard form & identify the coefficients:

8x + 4 = 10 + x2

a= ________  b = _________  c = _________

x2 - 8x + 6 = 0


a = 1     b = -8     c = 6

400

Does the quadratic equation below have a minimum or maximum value?

-2x2 + x - 1 = 0

Maximum

-2x2 + x - 1 = 0

Leading coefficient is negative; opens downward

400

Determine the Axis of Symmetry from the equation below:

y=(x - 4)- 2

Axis of Symmetry:

x = 4

400

How many solutions are there for the given quadratic equation below:

h(x) = 2(x - 4)2 +1

There are 0 solutions
(parabola DOES NOT cross x-axis)


400

A water balloon is catapulted into the air so that its height h(t), in feet, after t seconds is modeled by:

h(t) = -4.9t2 + 27t + 2.4

What was the height of the water balloon after 4 seconds?

Input t=4    OR   Use Calculator - Table


Height = 32 feet

500

Rewrite in standard form & identify the coefficients:

4(x + 5)2 = 0

a = ________    b = _________    c = _________

4x2 + 40x + 100 = 0


a = 4     b = 40      c = 100

500

What is the maximum / minimum value of the quadratic equation below:

x2 + 4x - 12 = 0

Minimum Value 

 -16

500

Identify the Vertex & Axis of Symmetry, given the table below:


Vertex: (0 , -2)

Axis of Symmetry: x = 0

500

What are the zeroes of the following quadratic function?


Zeroes: (3 , 0) and (6 , 0)


500


a) 4 seconds (time is takes cross x-axis)

b) 2 seconds (Axis of Symmetry)

c) 64 feet (Maximum - Vertex)

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