Graphing a quadratic function in standard form

Graphing a quadratic function in standard form

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to graph quadratic equations in the form y = ax^2 + c. It covers the changes in vertex and axis of symmetry, the process of creating a table of values, and calculating coordinates. The tutorial also demonstrates plotting points to form a parabola and discusses the significance of the vertex, axis of symmetry, and intercepts.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the form of a quadratic equation discussed in the video?

y = ax^2 + bx + c

y = ax^3 + c

y = ax^2 + c

y = ax + b

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where is the axis of symmetry located for the quadratic equation y = ax^2 + c?

y = c

x = c

y = 0

x = 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When creating a table of values, how many points should be chosen on each side of the axis of symmetry?

One point on each side

Two points on each side

Three points on each side

Four points on each side

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value when x = 0 for the equation y = 2x^2 + 3?

2

5

3

0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of a quadratic equation when the coefficient 'a' is positive?

The graph shifts to the right

The graph opens upwards

The graph shifts to the left

The graph opens downwards

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the minimum point of the graph y = 2x^2 + 3?

(0, 3)

(0, 0)

(2, 3)

(3, 0)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the graph of y = 2x^2 + 3 intersect the x-axis?

Yes, at one point

Yes, at two points

No, it does not intersect

Yes, at three points

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