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Transforming Quadratic Expressions

Transforming Quadratic Expressions

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, HSF-IF.C.7A, HSA.APR.C.4

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.HSF-IF.C.7A
,
CCSS.HSA.APR.C.4
The video tutorial explains how to convert a quadratic expression from the form ax^2 + bx + c to a(x-h)^2 + k. It outlines four steps: factoring the coefficient of x^2, forming a perfect square trinomial, undoing the added value, and factoring the trinomial. The example used is 9x^2 - 36x - 3, which is converted to 9(x-2)^2 - 39. The tutorial emphasizes understanding each step to achieve the desired expression form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the goal of transforming a quadratic expression into vertex form?

To find the roots of the equation

To simplify the expression

To express it as a product of linear factors

To rewrite it in the form a(x-h)^2 + k

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 9x^2 - 36x - 3, what is the value of 'a' that needs to be factored out?

1

9

36

3

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What constant should be added to form a perfect square trinomial from x^2 - 4x?

8

4

2

16

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we need to subtract 36 after adding 4 in the process of completing the square?

To balance the equation

To simplify the expression

To find the roots

To factor the trinomial

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final form of the expression after completing all steps?

9(x-2)^2 + 39

9(x+2)^2 - 39

9(x-2)^2 - 39

9(x+2)^2 + 39

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'h' in the vertex form of the expression?

2

-4

-2

4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'k' in the vertex form of the expression?

0

-39

9

39

Tags

CCSS.HSA-REI.B.4B

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