Completing the Square: Vertex Form Techniques

What is the standard form of the quadratic equation given in the video?

• x - 8 x + 2

• x^2 - 6x - 16

• x^2 + 6x + 16

• x - 3 squared - 7

Which form of the quadratic equation tells us the x-intercepts?

• Standard form

• Intercept form

• Vertex form

• None of the above

In vertex form, what do the variables H and K represent?

• The roots of the equation

• The vertex coordinates

• The x and y intercepts

• The coefficients of x and y

What is the vertex of the equation x - 3 squared - 7?

• (3, -7)

• (-3, 7)

• (3, 7)

• (-3, -7)

What is the purpose of completing the square?

• To find the x-intercepts

• To simplify the equation

• To convert a standard form equation into vertex form

• To find the roots of the equation

What is the first step in completing the square?

• Divide the equation by 2

• Find the square root of the equation

• Add and subtract the same number

• Take half of the coefficient of x and square it

In the example x^2 - 8x + 9, what number is added and subtracted to complete the square?

• 9

• 8

• 4

• 16

After completing the square for x^2 - 8x + 9, what is the vertex form of the equation?

• x - 4 squared + 7

• x - 4 squared - 7

• x + 4 squared - 7

• x + 4 squared + 7

In the second example, what is the vertex of the equation x^2 - 10x - 12 after completing the square?

• (-5, -37)

• (5, -37)

• (-5, 37)

• (5, 37)

What is the final step in completing the square?

• Rewrite the equation in vertex form

• Find the roots of the equation

• Factor the trinomial

• Add and subtract the same number