What are the solutions to the equation?
How many real solutions does the equation have?
Convert between factored, standard, and vertex form.
Contextual Word Problems
Fun Facts about Quadratics
100

x2−5x+6=0

What are x=3 and x=2?

100

x2-2x-3=0

What is two?

100

Write the standard form of y=(x−2)(x+4)

What is y=x2+2x-8?

100

A ball is thrown in the air. Its height (in meters) after t seconds is h(t)=−5t2+20t+15h. At what time does it hit the ground (h(t)=0)?

What is t=5 seconds?

100

The graph of a quadratic function is called this.

What is a parabola?

200

2x2-8x=0

What are x=0 and x=4?

200

x2−6x+9=0

What is one?

200

Convert y=x2+10x+24 to factored form

What is y=(x+6)(x+4)?

200

A rocket’s height (in meters) is h(t)=−4t2+16t+20. What is the maximum height?

What is 36 meters?

200

A parabola that opens downwards has this sign of "a" in y=ax2+bx+c.

What is negative?

300

x2+9x+8=0

What are x=-1 and x=-8?

300

x2+4=0

What is zero?

300

Convert y=x2+6x+5 to vertex form.

What is y=(x+3)2−4?

400

x2+4x-1=0

What are x≈0.24 and x≈-4.24?

Or 

What are x=-2+sqrt(5) and x=-2-sqrt(5)?



400

x2−4x+5=0?

What is zero?

500

2x2+2x-4=0

What are x=-2 and x=1?

500

-x2-8x-16=0

What is one?

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