Finding the Maximum or Minimum Value of a Quadratic Function by Completing the Square

Finding the Maximum or Minimum Value of a Quadratic Function by Completing the Square

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

1st - 6th Grade

Hard

Created by

Quizizz Content

FREE Resource

This video tutorial explains how to find the maximum or minimum value of a quadratic function by completing the square and writing the function in vertex form. It covers the properties of quadratic functions, the significance of the vertex, and provides examples to illustrate the process. The tutorial also addresses common misunderstandings and emphasizes the importance of the vertex form in determining the least or greatest value of a function.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape of the graph of a quadratic function?

A straight line

A hyperbola

A circle

A parabola

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the vertex form of a quadratic function, f(x) = a(x-h)^2 + k, what does the 'k' represent?

The x-coordinate of the vertex

The axis of symmetry

The y-coordinate of the vertex

The slope of the parabola

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is the quadratic term in vertex form equal to zero?

When x equals h

When x equals 0

When x equals k

When x equals a

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common misunderstanding when finding the least value of f(x) = (x-8)^2 - 12?

Thinking the least value occurs when x equals 12

Thinking the least value occurs when x equals 0

Thinking the least value occurs when x equals -8

Thinking the least value occurs when x equals 8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least value of the function f(x) = x^2 + 5x + 2?

0

2

-5/2

-17/4