Converting Standard to Vertex Form with the Box Method

What is the first step in converting a quadratic from standard form to vertex form using the box method?

• Divide the quadratic by 2

• Draw a circle around the quadratic

• Put a box around the first two terms

• Multiply the quadratic by 4

When modeling the quadratic with a square, what do the length and width of the square represent?

• The roots of the quadratic

• The terms of the quadratic

• The factors of the quadratic

• The coefficients of the quadratic

How do you determine the dimensions of the square for the term 8x?

• Multiply 8 by 2

• Divide 8 by 2

• Add 8 to 2

• Subtract 2 from 8

What is the missing piece to complete the square for the quadratic?

• A term that makes the quadratic a linear equation

• A term that makes the quadratic a perfect square

• A term that makes the quadratic a cubic equation

• A term that makes the quadratic a constant

What value is added to complete the square for the quadratic x^2 + 8x?

• 10

• 8

• 4

• 16

After completing the square, what must be done to maintain the equality of the equation?

• Add the same value to both sides

• Subtract the same value from both sides

• Add and subtract the same value

• Multiply both sides by the same value

How is the quadratic x^2 + 8x + 16 rewritten in vertex form?

• (x - 4)^2 + 26

• (x - 4)^2 - 26

• (x + 4)^2 + 26

• (x + 4)^2 - 26

What is the vertex of the quadratic equation in vertex form?

• (4, 26)

• (-4, 26)

• (-4, -26)

• (4, -26)

What is the general form of a quadratic equation in vertex form?

• y = a(x - h)^2 + k

• y = a(x + h)^2 + k

• y = a(x - h)^2 - k

• y = a(x + h)^2 - k

What should students do after watching the video tutorial?

• Read a textbook

• Take a break

• Try some problems on their own

• Watch another video