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Yr11 quadratics summative part 2

Last updated over 1 year ago
8 questions
4

y=x2 has been transformed to y=2x2 + 4
List all the transformations and sketch a graph.

4

y=x2 has been transformed to y= -(x - 2)2 + 4
List all the transformations and sketch a graph.

4

y=x2 has been transformed to y= 0.5(x + 5)2 - 3
List all the transformations and sketch a graph.

4

y=x2 has been transformed to y= - (x - 8)2 - 10
List all the transformations and sketch a graph.

4

The length of the hypotenuse of a right angled triangle is 5 cm.
Find the lengths of the two sides if one side is 1 cm longer than the other.

4

Farmer Lilly wants to fence in a rectangular area that has one side bordered by a stream. If she has 80 m of fence, what are the dimensions and the maximum area she can enclose?
(Lilly uses all 80 m of fence)

5

The height of a rocket t seconds after launch is given by H(t) = -5t2 + 100t

a. Draw a sketch to model the rocket.
b. How long does it take the rocket to reach its maximum height?
c. What is the maximum height reached by the rocket?
d. How long does it take the rocket to fall back to Earth?

5

Tennis player Rafa tosses the ball in the air before he serves it. The ball's height above the ground, t seconds after it's tossed is given by the function H(t) = -5t2 + 6t + 2

a. Draw a sketch to model the ball.
b. How high was the ball when it was released?
c. What is the maximum height reached by the ball?
d. Rafa hits the ball on its way down when it's 3 meters above the ground. How long after Rafa releases the ball does he hit it?
e. You might get two solutions for part d. For a bonus point, can you explain which value is the correct solution?