Transfer an equation standard form to vertex form when b is not divisible

Transfer an equation standard form to vertex form when b is not divisible

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to transform an equation from standard form to vertex form. It begins with an introduction to the concept and then guides through setting up the equation in the form of X^2 + BX. The process of completing the square is detailed, including calculating B/2 squared and handling fractions. The tutorial then covers rewriting the equation as a perfect square and finalizing it into vertex form, offering tips for dealing with non-divisible B values and fractions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in transforming an equation from standard form to vertex form?

Find the value of B/2 squared

Add and subtract the same value on both sides

Rewrite the equation in the form X^2 + BX

Multiply the equation by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When completing the square, what is the significance of calculating B/2 squared?

It simplifies the equation to linear form

It helps in finding the roots of the equation

It is used to rewrite the equation as a perfect square

It determines the axis of symmetry

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should you handle fractions when completing the square?

Multiply them by a constant

Leave them in fractional form

Ignore them

Convert them to decimals

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if B is not divisible by two when transforming to vertex form?

Multiply B by a constant

Round B to the nearest whole number

Use the fractional value of B/2

Ignore the B term

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the equation after completing the square and simplifying?

y = (X + B/2)^2 + C

y = X^2 + BX + C

y = (X - B/2)^2 - C

y = (X + B/2)^2 - C