MHS Alg 1 Key Features of Quadratics

This is a graph of a quadratic function. It is called a _______.

• line

• u

• parabola

• graph

Answer explanation

Menaechmus (380–320 BC) discovered the parabola, and Apollonius of Perga (262 BC–c190 BC) first named it. -simple.wikipedia.org

The vertex of this parabola is at the point, ____.

• (1, 3)

• (0, 0)

• (0, 5)

• (4, 0)

Answer explanation

Parabolas are frequently used in physics and engineering for things such as the design of automobile headlight reflectors and the paths of ballistic missiles. -courses.lumenlearning.com

The vertex of this parabola is also called its _______, the extreme value or lowest point on this parabola.

• maximum

• low point

• (-1, 3)

• minimum

Answer explanation

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. -quizlet.com

The extreme, or highest, point on this parabola is known as a _______.

• maximum

• point

• minimum

• top

Answer explanation

Parabolas can be seen everywhere! The water shot into the air by a fountain falls back in a parabolic path. A ball thrown into the air follows a parabolic path. Anyone who rides a roller coaster will be familiar with the rise and fall created by the track’s parabolas. -Sciencing.com

What are the coordinates of the x-intercept for this parabola?

• There isn't one.

• (-1, 0)

• (3, 0)

• (0, 0)

Answer explanation

Does this parabola have a y-intercept?

• No, it only has an x-intercept

• Yes, and the y-intercept is at the point (0, 0), just like the x-intercept.

Answer explanation

What is the orange dotted line called?

• a line

• the y-axis

• the axis of symmetry

Answer explanation

A line through a shape so that each side is a mirror image. When the shape is folded in half along the axis of symmetry, then the two halves match up. -mathisfun.com

What are the two purple points on the parabola called? Select all that apply.

• roots

• zeros

• x-intercepts

• vertex