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Understanding Parabolas and Their Properties

Understanding Parabolas and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to graph a parabola by identifying its vertex and applying transformations. It covers the vertex form of a parabola, detailing how the parameters affect the graph's position and shape. The tutorial demonstrates calculating points to determine the graph's stretch or compression, providing a step-by-step guide to plotting the parabola accurately.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a parabola according to the video?

Finding the axis of symmetry

Identifying the vertex

Calculating the y-intercept

Determining the slope

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the vertex form of a parabola, what does the parameter 'a' affect?

The direction of the parabola

The width of the parabola

The vertical shift

The horizontal shift

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the parameter 'h' in the vertex form indicate?

Vertical shift

Horizontal shift

Reflection over x-axis

Vertical stretch

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the parameter 'k' in the vertex form affect the graph?

It shifts the graph up or down

It shifts the graph left or right

It reflects the graph over the y-axis

It compresses the graph

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new vertex position after shifting the graph 3 units left and 4 units up?

(-4, 3)

(4, -3)

(3, -4)

(-3, 4)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to evaluate the function at points to the left and right of the vertex?

To find the axis of symmetry

To calculate the slope

To determine the y-intercept

To understand the stretch or compression

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating the function at x = -4?

4

6

8

10

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