Flashcard 4.3 & 4.4

Front

How long did it take the rocket to reach its maximum height?

Back

7 seconds

Front

Write the equation of the quadratic function that has x-intercepts at 2 and 4 and passes through the point (3, 4).

Back

y = -4(x - 2)(x - 4)

Front

Find the vertex, focus, and directrix of the parabola: x^2 = 28y.

Back

Vertex: (0, 0), Focus: (0, 7), Directrix: y = -7

Front

How does the distance between the focus and directrix affect the width of a parabola?

Back

Increasing the distance makes the parabola wider.

Front

What are the x-intercepts of the function?

Back

x = 0 and x = 4

Front

Define a parabola.

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the parabola, depending on its orientation.

Front

What is the focus of a parabola?

Back

The focus is a point from which distances to points on the parabola are measured.

Front

What is the directrix of a parabola?

Back

The directrix is a line used in the definition of a parabola, equidistant from the focus.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation for x.