Graphing Quadratics

Standard Form

100

What is quadratic standard form?

ax^2 + bx + c = 0, where a, b, and c are constants.

200

What is the axis of symmetry used for? 

To find the y-value in the vertex 

300

What is the formula for solving standard form Quadratics? 

y=ax²+bx+c 

400

PASS GO

Gain 500 Points

500

y=-x^2-6x-3

(-5,2) (-4,5) (-3,6) (-2,5) (-1,2)

Factored Form

100

PICK A NUMBER (Between 0-1000)

Lose that many points

200

What is the definition of factored form? 

The form of a number or algebraic expression when it has been broke down into a product of its factors 

300

How do you plot your "zeros"?

Look for points where the graph intersects the x-axis 

400

y=1/8(x-6)(x+2)

(0,3/2) (1,-15/8) (2,-2), (3,-15/8) (4,-3/2)

500

f(x)=3/8(x -1)(x -9)

(3,-9/2) (4,-45/8) (5,-6) (6,-45/8) (7,-9/2)

Vertex Form

100

f(x)=-(x+6)^2

(-8,-4) (-7,-1) (-6,0) (-5,-1) (-4,-4)

200

PICK A NUMBER (Between 0-1000)

Gain that many points

300

An object is launched from a platform.

Its height (in meters),  seconds after the launch, is modeled by:h(x)=-5(x-4)^2+180

What is the height of the object at the time of launch?

(2,160) (3,175) (4,180) (5,175) (6,160)

400

y=-2(x-1)^2-4

(-1,-12) (0,-6) (1,-4) (2,-6) (3,-12)

500

y=-1(x-3)^2+4

(1,0) (2,3) (3,4) (4,3) (5,0)

Solving Steps

100

What is the first step to solving a quadratic problem?

Finding your vertex 

200

PICK A TEAM

Swap Points with that team

300

What is the formula for solving vertex Quadratics? 

y=a(x-h)²+k

400

Is the vertex the axis of symmetry?

Yes

500

What is the axis of symmetry formula? 

x=-b/2a 

Miscellaneous

100

How is a quadratic graph always shaped? 

"U" Shape 

200

What is the correct formula when solving and graphing quadratics? 

f(x)=ax2+bx+c

300

BANKRUPT

Lose all your points

400

What shifts a parabola up or down? 

If "b" is positive, then the parabola moves upward, and if it is negative, it goes down. 

500

What does "C" do in a parabola?

Where the graph intersects the y-axis.