# Lesson 10I’ve Got a Fill-inPractice Understanding

A golf pro practices his swing by driving golf balls off the edge of a cliff into a lake. The height of the ball above the lake (measured in meters) as a function of time (measured in seconds and represented by the variable ) from the instant of impact with the golf club is the following:

The expressions shown are equivalent:

standard form

factored form

vertex form

### 1.

Which expression is the most useful for finding how many seconds it takes for the ball to hit the water? Why?

### 2.

Which expression is the most useful for finding how many seconds it takes for the ball to reach its maximum height? Why?

### 3.

Which expression is the most useful for finding the maximum height of the ball? Justify your answer.

### 4.

If you wanted to know the height of the ball at exactly seconds, which expression would help the most to find the answer? Why?

### 5.

If you wanted to know the height of the cliff above the lake, which expression would you use? Why?

## Set

One representation of a quadratic function is given. Fill in the missing representations and provide the indicated information.

### 6.

Factored form:

Standard form

Vertex form

#### c.

Which features of this function are most easily identified from the given equation? State them.

Graph

### 7.

Vertex form:

Standard form

Factored form

#### c.

Which features of this function are most easily identified from the given equation? State them.

Graph

### 8.

Standard form:

Vertex form

Factored form

#### c.

Which features of this function are most easily identified from the given equation? State them.

Graph

### 9.

Standard form

Vertex form

Factored form

#### d.

Which features of this function are most easily identified from the given graph? State them.

### 10.

#### a.

Show the first differences and the second differences on the given table.

Standard form

Vertex form

Graph

## Go

Multiply each pair of binomials using the Distributive Property.

### 14.

Factor the following quadratic expressions, if possible. Some will not factor; if they don’t factor, state that it does not factor.

### 24.

Which quadratic expression above could represent the area of a square? Explain.

### 25.

Would any of the expressions above NOT be the side lengths for a rectangle? Explain.