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 a quadratic equation in the form y = ax^2 + bx + c. It covers finding the axis of symmetry using the formula x = -b/2a, plotting the axis, and creating a table of values to identify the vertex. The tutorial demonstrates reflecting points over the axis of symmetry to complete the graph and discusses finding y-intercepts and estimating x-intercepts.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of a quadratic equation?

y = ax^2 + b

y = ax^3 + bx^2 + c

y = ax^2 + bx + c

y = ax + b

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the axis of symmetry for a quadratic equation in standard form?

x = -a/2b

x = b/2a

x = -b/2a

x = a/2b

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the axis of symmetry for the equation y = 3x^2 + 6x + 2?

x = -1

x = 1

x = 0

x = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is the vertex of the quadratic equation y = 3x^2 + 6x + 2?

(-2, 2)

(-1, -1)

(0, 2)

(1, 11)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-coordinate of the point when x = 0 for the equation y = 3x^2 + 6x + 2?

0

11

2

6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the graph of y = 3x^2 + 6x + 2 intersect the y-axis?

(0, -1)

(2, 0)

(0, 2)

(0, 0)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the estimated range for the x-intercepts of the graph y = 3x^2 + 6x + 2?

-2 < x < -1 and -1 < x < 0

-1 < x < 0 and 1 < x < 2

-3 < x < -2 and -1 < x < 0

-2 < x < -1 and 0 < x < 1

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