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Solving a quadratic by graphing

Solving a quadratic by graphing

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve inequalities by graphing. It begins by introducing the concept of solving inequalities and then moves on to demonstrate how to complete the square to convert a quadratic equation into vertex form. The tutorial then shows how to graph the function using the vertex and intercepts, emphasizing the importance of symmetry. Finally, it covers how to test inequalities using test points and determine the correct shading for the graph.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step suggested for solving the quadratic inequality problem?

Solve the inequality algebraically

Use a calculator to find the solution

Ignore the inequality sign initially

Graph the inequality directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to factor out the leading coefficient when completing the square?

To simplify the equation

To eliminate the constant term

To ensure the coefficient of x^2 is 1

To make the equation linear

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the negative leading coefficient in the quadratic equation indicate about the graph?

The graph is a vertical line

The graph opens downwards

The graph opens upwards

The graph is a horizontal line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can symmetry be used when graphing a quadratic function?

By reflecting points over the x-axis

By reflecting points over the origin

By reflecting points over the axis of symmetry

By reflecting points over the y-axis

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using test points in solving inequalities?

To identify the intercepts

To determine the direction of shading

To find the exact solution

To calculate the vertex

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a solid line in the graph of an inequality indicate?

The inequality is not solved

The inequality includes the boundary

The inequality is strict

The inequality is undefined

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which test point is commonly used to check the validity of an inequality?

(0,0)

(1,1)

(2,2)

(-1,-1)

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