# Lesson 4 Directing Our Focus Develop Understanding

Graph each set of functions on the same coordinate axes. Describe in what way the graphs are the same and in what way they are different.

### 1.

### 2.

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### 4.

The points

### 5.

The geometric definition of a parabola states that the distance from the focus

According to this definition, is the point

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The points

### 7.

Use a straightedge to draw a line segment from

### 8.

Write an equation that relates the lengths of the two line segments, and calculate the distance from

### 9.

What is the value of

### 10.

What are the missing values of

### 11.

Write the equation of this parabola for any value of using the geometric definition.

Use the point

Let

Use completing the square to find the center