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Parabola Vibes
100

(x+2)(x+5)

x2+7x+10

100

(x−4)(x+3)=0

x=4,−3

100

x2+7x+10

(x+5)(x+2)

100

What are the coordinates of the vertex of the parabola? 

y=x2−6x+5

(3,−4)


200

Write in standard form. 

(5x2−2x+6)−(2x2+4x−1)

3x2−6x+7

200

(x−3)(x+4)

x2+x−12

200

3x2−12x=0

x=0,4

200

Does the parabola open up or down? 

y=−2x2+8x−1

Opens down

300

Write in standard form.

(6x3+12x2)/(3x)

2x2+4x

300

(2x−6)(x+1)=0

x=3,−1

300

2x2+9x+10

(2x+5)(x+2)

300

What is the axis of symmetry?

y=x2+10x+9

x = -5

400

Write in standard form. 

(2x2+3x−5)+(x2−7x+4)

3x2−4x−1

400

(2x+3)(x+5)

2x2+13x+15

400

6x2+12x

6x(x+2)

400

What are the x-intercepts of the graph? 

y = x2+4x-12

x=2,x=−6

500

Write in standard form. 

−3x2+7+2x−x3

−x3−3x2+2x+7

500

(3x−2)(2x+7)

6x2+17x−14

500

5x2+10x=0

x=0,−2

500

9x2−25

(3x−5)(3x+5)