jeopardy looking for a parabola a curve that fits factor it square it a formula for the quadratic...

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Jeopardy Jeopardy Looking Looking for a for a parabola parabola A Curve A Curve that Fits that Fits Factor Factor it it Squar Squar e it e it A formula A formula for the for the quadratic quadratic Imagine Imagine that that 100 100 100 100 100 100 200 200 200 200 200 200 200 300 300 300 300 300 300 300 400 400 400 400 400 400 400 500 500 500 500 500 500

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Page 1: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

JeopardyJeopardyLooking Looking

for a for a parabolparabol

aa

A Curve A Curve that Fitsthat Fits

Factor Factor itit

SquarSquare ite it

A formula A formula for the for the

quadraticquadratic

Imagine Imagine thatthat

100 100 100 100 100 100

200 200 200200 200 200 200

300 300 300300 300 300 300

400 400400 400 400 400 400

500 500 500 500 500 500

Page 2: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Looking for a parabola Looking for a parabola 100100

Show that the function is a quadratic function by writing it in the form f(x) = ax2 + bx + c, Identify a,b and c.

F(x) = 5(2x – 1)(3x + 2)

Page 3: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Looking for a parabola Looking for a parabola 200200

Graph the function and give the approximate coordinates of the vertex.

F(x) = 5x2 – x – 12

Page 4: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Looking for a parabola Looking for a parabola 300300

State whether the parabola opens up or down and whether the y-coordinate of the vertex is the maximum or the minimum of the function.

F(x) = (x – 3)(x + 2)

Page 5: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Looking for a parabola Looking for a parabola 400400

Solve the equation, giving both exact solutions and approximate solutions to the nearest hundredth.

3x2 = 60

Page 6: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Looking for a parabola Looking for a parabola 500500

Solve the equation, giving both exact solutions and approximate solutions to the nearest hundredth.6(x + 2)2 = 30

Page 7: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A Curve that Fits A Curve that Fits 100100

Find the quadratic function that fits the set of data points exactly.

(-10,185), (-5, 70), (1, -2)

Page 8: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A Curve that Fits A Curve that Fits 200200

Find the quadratic function that fits the set of data points exactly.

(-2,-7), (1,2), (-1,-2)

Page 9: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A Curve that Fits A Curve that Fits 300300

Find the quadratic function that fits the set of data points exactly.

(-1,4), (0,4), (4,84)

Page 10: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A Curve that Fits A Curve that Fits 400400

Find the quadratic function that fits the set of data points exactly.

X -3 -2 -1 0 1 2 3

Y 50 28 10 -2 20 33 80

Page 11: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A Curve that Fits A Curve that Fits 500500

Find the quadratic function that fits the set of data points exactly.

X -25 -10 0 15 30

Y 1500 275 49 800 2015

Page 12: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Factor it Factor it 100100

Factor.

6n – 4n2

Page 13: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Factor it Factor it 200200

Factor.

X2 + 11x + 28

Page 14: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Factor it Factor it 300300

Factor.

2x2 – 5x - 25

Page 15: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Factor it Factor it 400400

Use the zero product property to find the zeros of the function.

F(x) = 2x2 – 3x – 2

Page 16: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Factor it Factor it 500500

Use the zero product property to find the zeros of the function.

F(x) = 4x2 + 4x + 1

Page 17: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Square it Square it 100100

Solve each quadratic equation by completing the square.

X2 – 6x = 27

Page 18: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Square it Square it 200200

Solve each quadratic equation by completing the square.

X2 – 10x + 21 = 0

Page 19: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Square it Square it 300300

Solve each quadratic equation by completing the square.

4X2 + 4 = 17x

Page 20: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Square it Square it 400400

Write the function in vertex form, and identify the coordinates of the vertex.

Y = 2x2 – 16x + 33

Page 21: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Square it Square it 500 500

Write the function in vertex form, and identify the coordinates of the vertex.

Y = x2 + 2x – 3

Page 22: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A formula for the quadratic A formula for the quadratic 100100

Use the quadratic formula to solve the equation

2x + 1 = 2x2

Page 23: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A formula for the quadratic A formula for the quadratic 200200

Use the quadratic formula to solve the equation

X2 -7x = -10

Page 24: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A formula for the quadratic A formula for the quadratic 300300

Use the quadratic formula to solve the equation11x = 5x2 – 3

Page 25: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A formula for the quadratic A formula for the quadratic 400400

For the function, find trhe coordinates of the vertex of the graph.

F(x) = x2 + 7x + 6

Vertex =

-b -b2a 2a

f,

Page 26: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

A formula for the quadraticA formula for the quadratic 500500

For the function, find trhe coordinates of the vertex of the graph.

F(x) = x2 + 2x – 3

Vertex =

-b -b2a 2a

f,

Page 27: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Imagine that Imagine that 100100

Determine the number of real solutions for the equation by using the discriminant.

4x2 – 20x = -25

Page 28: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Imagine that Imagine that 200200

Solve the equation. Write your answers in the form a + bi.

X2 + 8x + 20 = 0

Page 29: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Imagine that Imagine that 300300

Solve the equation. Write your answers in the form a + bi.

4X2 = 2x – 1

Page 30: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Imagine that Imagine that 400400

Perform the indicated operations.

5 – 2i

-4 + i

Page 31: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Imagine that Imagine that 500500

Perform the indicated operations.

(2 + i)(4 – 8i)

Page 32: Jeopardy Looking for a parabola A Curve that Fits Factor it Square it A formula for the quadratic Imagine that 100 200 300 400 500

Double JeopardyDouble Jeopardy

Pick a point value up to what you have so far. Pick a point value up to what you have so far. You can double it if you answer correctly.You can double it if you answer correctly.