Topic 3 Exam

The function

has been translated right 5 units and up 2 units. Write the equation of the translated function f(x) in vertex form.

Compared to

which of the following is NOT TRUE about

is reflected over the x-axis, translated 4 units right and 2 units down. Which of the following is the equation of the function in vertex form?

Sketch the graph.

The graph of

is downward and narrower than

Which of the following could be the value of a?

What is the average rate of change for the function:

over the interval

What is the vertex of the function? Write your answer as an ordered pair.

What is the axis of symmetry for the function?

FInd the y-intercept of the graph of

The graph of h is a translation 2 units left and 4 units down from

What is the vertex form of this function?

What is the axis of symmetry for the function:

Write your answer as an equation.

The function

models the height of a rocket launched from the ground. Find the maximum height of the rocket.

Lily wants to build a rectangular pool whose length is 2 times its width (w). He also wants to build a deck that surrounds the pool that is 5 feet wide on all sides. Write a quadratic equation that represents the area of the entire pool and deck. Write your answer using A(w)=.

Graph the function:

The table shows how wind affects a runners performance in the 200 meter dash. Positive wind speeds correspond to tailwinds and negative wind speeds correspond to headwinds. Positive changes in finishing time mean worsened performance(slower) and negative means better performance (faster). Find the quadratic regression for the data. Round a, b and c to the nearest hundredth.

What type of model best fits this data and explain why? Use a mathematical explaination.