Completing the Square Techniques with TI Nspire CX CAS

This video tutorial teaches how to complete the square using a TI-Nspire CX CAS calculator. It covers solving algebraic equations to find equivalent forms and determining the center of a circle by completing the square. The tutorial provides step-by-step instructions for using the calculator to solve these problems, emphasizing the importance of changing signs when identifying coordinates. The video concludes with guidance on accessing further learning materials.

What is the primary goal when completing the square in an equation?

• To balance the equation

• To simplify the equation

• To find the vertex form

• To isolate the variable

Tags

CCSS.HSA-REI.B.4B

What does placing 'comma x' at the end of an equation input in a calculator signify?

• It's solving for x

• It's completing the square with respect to x

• It's differentiating with respect to x

• It's integrating with respect to x

Tags

CCSS.HSA-REI.B.4B

What is the result of completing the square for the equation with respect to x?

• x + 2 squared minus 23

• x^2 + 4x - 21

• (x + 2)^2 - 23

• x^2 + 4x + 4 - 23

Tags

CCSS.HSA-REI.B.4B

How do you find the vertex form of a quadratic equation using a calculator?

• By graphing the equation

• By completing the square using the calculator's function

• By factoring the quadratic

• By setting the equation to zero

What is the vertex form of the equation after completing the square?

• x^2 + 4x - 21

• x^2 - 4x + 4 + 23

• (x + 2)^2 - 23

• (x - 2)^2 + 23

When completing the square for a circle's equation, what does adding 'comma x comma y' indicate?

• Solving for both x and y simultaneously

• Completing the square with respect to both x and y

• Differentiating with respect to both x and y

• None of the above

What is the center of the circle after completing the square?

• (2, -3)

• (-2, 3)

• (-3, 2)

• (3, -2)

Tags

CCSS.HSG.GPE.A.1

What does the equation x + 2 squared plus y - 3 squared equals 37 represent?

• An ellipse

• A parabola

• A hyperbola

• A circle

Tags

CCSS.HSG.GPE.A.1

How does completing the square help in identifying the center of the circle?

• It simplifies the equation to standard form

• It calculates the area of the circle

• It isolates the radius

• It provides the diameter of the circle

Tags

CCSS.HSG.GPE.A.1

What is the correct interpretation of the coordinates obtained from completing the square in the context of circle equations?

• They are direct coordinates of the center without changes

• They indicate the diameter endpoints

• They represent the radius

• They are the coordinates of the center, with signs inverted

Tags

CCSS.HSG.GPE.A.1