Quadratic Transformations
End Behavior
Domain
Range
Converting between forms
100

Find the equation of the parabola that has moved 5 units to the right

1.y=(x+5)^2

2.y=(x-5)^2

3.y=x²+5

4.y=x²-5

number 2. y=(x−5)^2

100

  

What is the End behavior on the right side

1. x→∞, y→∞

2.x→-∞, y→∞

3.x→⁻∞, y→0

4. x→∞, y→⁻∞


x→∞, y→∞

100

What is the domain of the graph?

1.-3 ≤ x ≤ 3

2.3 ≤ x ≤ -3

3.-2 ≤ x ≤ 10

4.-3 ≤ x ≤ 10

-3 ≤ x ≤ 3

100

What is the range of the graph?

1.-2 < y < 10

2.-3 < x < 3

3.-2 ≤ y ≤ 10

4.-3≤ x ≤ 3

-2 ≤ y ≤ 10

100

(2x-1)(3x+4)

Find the equivalent expression.

1.6x^2-5x-4

2.6x^2+5x-4

3.6x+11x+4

4.6x+5x-4

6x^2+5x-4

200

Find the equation of the parabola that has moved 8 units down

1.y=x^2+8

2.y=x^2-8

3.y=(x+8)^2

4.y=(x-8)^2

number 2. y=x^2-8

200

y = x2

1.down and down

2.down and up

3.up and down

4.up and up

up and up

200

Find the Domain.

1.All real numbers

2.x > 3

3.x > 0

4.x ≥ 0

x > 0

200

Find the Range.

1.All Real numbers

2.0 < y < 11

3.y ≥ 0

4.y > 0

y > 0

200

Which of the following equations is in vertex form?

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

2.f(x) = (x - 1)^2+2

f(x) = (x - 1)^2+2

300

Find the equation of the parabola that has moved 3 units up

1.y=x^2+3

2.y=x^2-3

3.y=(x+3)^2

4.y=3x^2

number 1. y=x^2+3

300


Determine the end behavior of the graph.

There are arrows.

1.As x→ -∞, y→ +∞

As x→ +∞, y→ +∞

2.As x→ -∞, y→ -∞

As x→ +∞, y→ -∞

3.As x→ -∞, y→ -∞

As x→ +∞, y→ +∞

4.As x→ -∞, y→ +∞

As x→ +∞, y→ -∞

As x→ -∞, y→ -∞

As x→ +∞, y→ +∞

300

What is the Domain?

1.-3 < x ≤ 3

2.-4 ≤ x < 5

3.-4 ≤ y ≤ 5

4.-3 < y ≤ 3

-3 < x ≤ 3

300

What is the Range? 

1.-3 ≤ y < 2

2.-3 < y ≤ 2

3.-7 ≤ y ≤ 2

4.-7 ≤ y < 2

-7 ≤ y ≤ 2

300

Convert y=(x+7)^2+3 to standard

1.y=x^2+14x+49

2.y=x^2+14x+52

3.y=−x^2−49

4.y=x^2+49


y=x^2+14x+52

400

Find the equation of the parabola that has stretched by factor of 3

1.y=3x^2

2.y=1/3x^2

3.y=(x+3)^2

4.y=x^2+3

number 1. y=3x^2

400

What is the End behavior on the left side

1.x →-∞, y→∞

2.x →-∞, y→-∞

3.x →∞, y→∞

4.x →∞, y→∞

x →-∞, y→-∞

400

What is the Domain of this linear function?

1.-3 < x ≤ 5

2.x = -1

3.5 < x ≤ -3

4.-2 < x ≤ 6

-3 < x ≤ 5

400

What is the range of the graph?

1.y ≥ -5

2.y ≤ 5

3.-5 ≤ y ≤ 5

4.-5 ≤ y ≤ 9

y ≤ 5

400

y=-3(x+5)^2-4

  

Convert the equation from vertex form to standard form.

1.y = 9x^2 - 15x + 21

2.y = -3x^2 - 75x - 4

3.y = 9x^2 + 90x + 221

4.y = -3x^2 - 30x - 79

y = -3x^2 - 30x - 79

500

Find the equation of the parabola that has moved 3 units to the left moved 5 units up

1.y=(x+3)^2+5

2.y=(x+5)^2+3

3.y=(x-3)^2+5

4.y=(x+5)^2-3

number 1. y=(x+3)^2+5

500

What is the end behavior of the function

1.as x →⁻∞,y→⁻∞, as x →∞, y→⁻∞

2.as x→⁻∞, y→∞, as x →∞, y→∞

3.as x→⁻∞, y→0, as x →∞, y→∞

4.as x→⁻∞, y→⁻∞, as x →∞,y→∞

as x →⁻∞,y→⁻∞, as x →∞, y→⁻∞

500

The total cost in dollars to buy uniforms for the players on the volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought.  If there are at least 8 players but not more than 12 players on team, what is the domain of the situation?

1.0 < u ≤ 12

2.0 < c ≤ 425.65

3.{8, 9, 10, 11, 12}

4.{295.85, 320.80, 355.75, 390.70, 425.65}

{8, 9, 10, 11, 12}

500

The total cost in dollars, c, to purchase video games online can be found using the function c = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

1.{4, 5, 6, 7}

2.4 ≤ x ≤ 7

3.72.55 ≤ c ≤ 123.50

4.{72.55, 89.50, 106.45, 123.40}

{72.55, 89.50, 106.45, 123.40}

500

y=3(x−4)^2+11

 Convert the equation from vertex form to standard form.

1.y = 3x^2-24x-37

2.y = 3x^2- 48x + 11

3.y = 3x^2-12x +11

4.y = 3x^2- 144x - 11

y = 3x^2-24x-37

M
e
n
u