Completing the Square Techniques

Completing the Square Techniques

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to convert quadratic functions from general form to vertex form using the completing the square technique. It covers the process step-by-step, including examples with negative and fractional coefficients, and highlights common mistakes to avoid. The tutorial emphasizes the importance of understanding the vertex form for graphing and analyzing quadratic functions.

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex form of a quadratic function?

y = a(x + p)^2 - q

y = ax + b

y = a(x - p)^2 + q

y = ax^2 + bx + c

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it useful to convert a quadratic function to vertex form?

To simplify the equation

To easily identify the vertex

To eliminate the constant term

To make the function linear

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What technique is used to convert a quadratic function from general form to vertex form?

Graphing

Completing the square

Factoring

Using the quadratic formula

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When completing the square, what should you do with the leading coefficient?

Ignore it

Factor it out of the first two terms

Add it to the constant term

Multiply it by the entire equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the process of completing the square, what do you add and subtract?

The square of the constant term

The square of half the coefficient of x

The square of the leading coefficient

The square of the entire equation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of the quadratic function y = 3(x - 3)^2 - 13?

(-3, -13)

(3, -13)

(-3, 13)

(3, 13)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the leading coefficient affect the direction of the parabola?

A negative coefficient makes it open upwards

A positive coefficient makes it open downwards

A positive coefficient makes it open upwards

It has no effect on the direction

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