Yr11 y=x^2 translations & quad word problems

1

What is the graph of y=(x-3)^2?

1

If the function y=x^2 is translated 2 units down, what is the new equation?

1

The graph y=(x+4)^2 is a shift of what original equation, in what direction?

1

What transformation happens to the graph of y=x^2 to get the graph of y=(x-5)^2?

7

Draggable item		Corresponding Item
a		A
c		B
e		C
d		D
b		E
g		F
f		G

1

A rectangle has length 3cm longer than its width and its area is 42cm2. Find the width of the rectangle. State your units.
(Do your working out on paper and put your answer in here)

2

At a dog kennel, each dog enclosure is a rectangle whose length is 4 meters more than twice the width. Each enclosure has an area of 240m2. What are the dimensions of the enclosure. Give your answer like this: width=?m length=?m
(Do your working out on paper and put your answer in here)

2

Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36 m. What are the dimensions of the field?
Give your answer like this: ?m x ?m

1

Farmer Antonio wants to fence in a rectangular area that has one side bordered by a stream. If he has 80m of fence, what are the dimensions and the maximum area he can enclose?
Give your answer like this: Dimensions=?m x ?m, Max area=?m2

1

Jimmy throws a rock off a cliff. Its height over time is expressed by the equation
h = -5t2 + 40t + 24. Determine its maximum height.

1

Looking at Jimmy's rock in Q10. Determine the time taken to reach maximum height.

1

Also looking at Jimmy's rock in Q10. How long does it take for the rock to hit the ground?

1

The profit made from a Youtubers viral videos can be modelled by the function
P(x)= -x2 + 50x - 350 where x is the amount of videos posted per month.
How many videos should be posted per month to maximise profit in $?

1

Looking at the Youtubers model in Q13, determine the maximum profit.

1

Looking at the Youtubers model in Q13, what is the loss if no videos are posted in a particular month?

1

A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x) = -16x2 - 4x + 382
How long after the rock is thrown does it hit the ground?

What is the graph of y=(x-3)^2?

If the function y=x^2 is translated 2 units down, what is the new equation?

The graph y=(x+4)^2 is a shift of what original equation, in what direction?

What transformation happens to the graph of y=x^2 to get the graph of y=(x-5)^2?

A rectangle has length 3cm longer than its width and its area is 42cm2. Find the width of the rectangle. State your units. (Do your working out on paper and put your answer in here)

At a dog kennel, each dog enclosure is a rectangle whose length is 4 meters more than twice the width. Each enclosure has an area of 240m2. What are the dimensions of the enclosure. Give your answer like this: width=?m length=?m(Do your working out on paper and put your answer in here)

Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36 m. What are the dimensions of the field? Give your answer like this: ?m x ?m

Farmer Antonio wants to fence in a rectangular area that has one side bordered by a stream. If he has 80m of fence, what are the dimensions and the maximum area he can enclose?Give your answer like this: Dimensions=?m x ?m, Max area=?m2

Jimmy throws a rock off a cliff. Its height over time is expressed by the equation h = -5t2 + 40t + 24. Determine its maximum height.

Looking at Jimmy's rock in Q10. Determine the time taken to reach maximum height.

Also looking at Jimmy's rock in Q10. How long does it take for the rock to hit the ground?

The profit made from a Youtubers viral videos can be modelled by the function P(x)= -x2 + 50x - 350 where x is the amount of videos posted per month. How many videos should be posted per month to maximise profit in $?

Looking at the Youtubers model in Q13, determine the maximum profit.

Looking at the Youtubers model in Q13, what is the loss if no videos are posted in a particular month?

A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x) = -16x2 - 4x + 382 How long after the rock is thrown does it hit the ground?

A rectangle has length 3cm longer than its width and its area is 42cm2. Find the width of the rectangle. State your units.
(Do your working out on paper and put your answer in here)

At a dog kennel, each dog enclosure is a rectangle whose length is 4 meters more than twice the width. Each enclosure has an area of 240m2. What are the dimensions of the enclosure. Give your answer like this: width=?m length=?m
(Do your working out on paper and put your answer in here)

Nancy walks 15 m diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 36 m. What are the dimensions of the field?
Give your answer like this: ?m x ?m

Farmer Antonio wants to fence in a rectangular area that has one side bordered by a stream. If he has 80m of fence, what are the dimensions and the maximum area he can enclose?
Give your answer like this: Dimensions=?m x ?m, Max area=?m2

Jimmy throws a rock off a cliff. Its height over time is expressed by the equation
h = -5t2 + 40t + 24. Determine its maximum height.

The profit made from a Youtubers viral videos can be modelled by the function
P(x)= -x2 + 50x - 350 where x is the amount of videos posted per month.
How many videos should be posted per month to maximise profit in $?

A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground x seconds after it is thrown is given by f(x) = -16x2 - 4x + 382
How long after the rock is thrown does it hit the ground?