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JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Jan 02, 2016

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Page 1: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

JEOPARDY!

Page 2: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

GraphingQuadratics

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GraphingSolving using

SquareRoots

Discriminants

GO TO FINAL JEOPARDY

Solving byFactoring

Solving byQuadraticFormula

Page 3: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing Quadratics – 1 point

RETURNTO

JEOPARDYBOARD

Use the quadratic equation Use the quadratic equation to complete the table of to complete the table of

values:values:

y = 5xy = 5x22 + 1 + 1x y

-2

-1

0

Page 4: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing Quadratics– 2 points

RETURNTO

JEOPARDYBOARD

Find the vertex of the Find the vertex of the parabola given by:parabola given by:

y = 2xy = 2x22 + 4x - 6 + 4x - 6

Page 5: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing Quadratics – 3 points

RETURNTO

JEOPARDYBOARD

Find the axis of symmetry of Find the axis of symmetry of the parabola given by:the parabola given by:

y = xy = x22 + 3x - 6 + 3x - 6

Page 6: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing Quadratics – 4 points

RETURNTO

JEOPARDYBOARD

Use the quadratic equation Use the quadratic equation to complete the table of to complete the table of

values:values:

y = 5(x+3)y = 5(x+3)22 + 1 + 1x y

Page 7: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing Quadratics – 5 points

RETURNTO

JEOPARDYBOARD

Describe how to tell if a graph Describe how to tell if a graph of a quadratic equation will of a quadratic equation will

have a maximum or have a maximum or minimum.minimum.

Page 8: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing – 1 point

RETURNTO

JEOPARDYBOARD

What are the solution(s) What are the solution(s) of the quadratic equation of the quadratic equation

graphed below?graphed below?

Page 9: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing – 2 points

RETURNTO

JEOPARDYBOARD

Will the vertex of Will the vertex of

y = 2xy = 2x22-3x-5 be a -3x-5 be a maximum or minimum?maximum or minimum?

Page 10: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing – 3 points

RETURNTO

JEOPARDYBOARD

Determine the vertex of Determine the vertex of

y = xy = x22+4x-10+4x-10

Page 11: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Graphing – 4 points

RETURNTO

JEOPARDYBOARD

Determine the vertex of Determine the vertex of

y = (x+6)(x – 3)y = (x+6)(x – 3)

Page 12: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Graphing – 5 points

RETURNTO

JEOPARDYBOARD

Determine the vertex of Determine the vertex of

y = -(x+5y = -(x+5)2-)2-8 and if it will 8 and if it will be a maximum or be a maximum or

minimum.minimum.

Page 13: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Square Roots – 1 point

RETURNTO

JEOPARDYBOARD

Solve for m.Solve for m.

mm22 – 36 = 0 – 36 = 0

Page 14: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Square Roots – 2 points

RETURNTO

JEOPARDYBOARD

Solve for t.Solve for t.

-39 + t-39 + t22 = 10 = 10

Page 15: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

DAILY DOUBLE

Solving by Square Roots – 3 points

RETURNTO

JEOPARDYBOARD

Solve for n.Solve for n.

4(n + 1)4(n + 1)2 2 = 20= 20

Page 16: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Square Roots – 4 points

RETURNTO

JEOPARDYBOARD

Solve for g.Solve for g.

5g5g22 – 5 = 4 + g – 5 = 4 + g22

Page 17: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Square Roots – 5 points

RETURNTO

JEOPARDYBOARD

Solve for n.Solve for n.

(n – 5)(n – 5)22 + 5 = 30 + 5 = 30

Page 18: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Factoring - 1 point

RETURNTO

JEOPARDYBOARD

Solve by factoring.Solve by factoring.

xx22 – 25 = 0 – 25 = 0

Page 19: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Factoring - 2 points

RETURNTO

JEOPARDYBOARD

Solve by factoring.Solve by factoring.

3m3m22 – 9m = 0 – 9m = 0

Page 20: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Factoring - 3 points

RETURNTO

JEOPARDYBOARD

Solve by factoring.Solve by factoring.

tt22 +2t + 1 = 0 +2t + 1 = 0

Page 21: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Factoring - 4 points

RETURNTO

JEOPARDYBOARD

Solve by factoring.Solve by factoring.

hh22 - 27h + 50 = 0 - 27h + 50 = 0

Page 22: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by Factoring - 5 points

RETURNTO

JEOPARDYBOARD

Solve by factoring.Solve by factoring.

dd22 + 9d + 14 = 0 + 9d + 14 = 0

Page 23: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by the Quadratic Formula – 1 point

RETURNTO

JEOPARDYBOARD

Round your answer to the Round your answer to the nearest hundredth.nearest hundredth.

xx22 + 6x – 10 = 0 + 6x – 10 = 0

Page 24: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by the Quadratic Formula – 2 points

RETURNTO

JEOPARDYBOARD

Round your answer to the Round your answer to the nearest hundredth.nearest hundredth.

6x6x22 – 2x + 5 = 0 – 2x + 5 = 0

Page 25: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by the Quadratic Formula – 3 points

RETURNTO

JEOPARDYBOARD

Round your answer to the Round your answer to the nearest hundredth.nearest hundredth.

-x-x22 + 4x – 16 = 0 + 4x – 16 = 0

Page 26: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by the Quadratic Formula – 4 points

RETURNTO

JEOPARDYBOARD

Round your answer to the Round your answer to the nearest hundredth.nearest hundredth.

5x5x22 – 2x = -1 – 2x = -1

Page 27: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Solving by the Quadratic Formula – 5 points

RETURNTO

JEOPARDYBOARD

Round your answer to the Round your answer to the nearest hundredth.nearest hundredth.

-3x-3x22 + 7x – 9 = 0 + 7x – 9 = 0

Page 28: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Discriminants – 1 point

RETURNTO

JEOPARDYBOARD

Explain how to tell Explain how to tell how many solutions how many solutions an equation has by an equation has by

using its using its discriminant.discriminant.

Page 29: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Discriminants– 2 points

RETURNTO

JEOPARDYBOARD

Tell how many solutions Tell how many solutions the equation has the equation has without solving.without solving.

zz22 + 3z + 75 = 0 + 3z + 75 = 0

Page 30: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Discriminants – 3 points

RETURNTO

JEOPARDYBOARD

Tell how many Tell how many solutions the solutions the

equation has without equation has without solving.solving.

3x3x22 – x – 1 = 0 – x – 1 = 0

Page 31: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Discriminants – 4 points

RETURNTO

JEOPARDYBOARD

Tell how many solutions Tell how many solutions the equation has the equation has without solving.without solving.

10x10x22 + 12x – 1 = 0 + 12x – 1 = 0

Page 32: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

Discriminants – 5 points

RETURNTO

JEOPARDYBOARD

Explain WHY a quadratic Explain WHY a quadratic equation with a negative equation with a negative

discriminant has no discriminant has no solutions.solutions.

Page 33: JEOPARDY! Graphing Quadratics 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Graphing Solving using Square Roots Discriminants GO TO FINAL.

FINALFINALJEOPARDY!JEOPARDY!

Give 3 different methods that can beused to solve a quadratic equation.then tell WHEN (or why) you would

want to use each one.