M2 - Unit 4 Lessons 1-5

This diagram represent which quadratic equation?

• (x +3)(x + 3)

• x² + 6x + 9

• (x + 3)²

• All of the above options are correct.

The basic quilt block at Optima's Quilt Shop is shown. What is the area of this basic quilt block?

• x³

• x + x

• Chickens

• x²

Which quadratic equation represent this quilt block?

• x² + 9

• (x + 3)²

• (x - 3)²

• x²

Complete the square: x² + 6x + 3

• x² + 6x + 9

• (x + 3)² - 6

• (x - 3)² +9

• (x + 3)² + 9

When the tiles are rearranged to make a quilt block, which of the following is the standard form of the quadratic expression represented by this diagram?

• 4x² + 4x + 4

• (x + 2)(x + 2)

• x² - 4x + 4

• x² + 4x + 4

When the tiles are rearranged to make a quilt block, which of the following is the factored form a the quadratic expression represented by this diagram?

• 4x² + 4x + 4

• (x + 2)(x + 2)

• x² - 4x + 4

• x² + 4x + 4

This is the vertex form of a quadratic function: f(x) = (x + 3)² - 1. What is the vertex of the parabola?

• (3, 1)

• (-3, 1)

• (3, -1)

• (-3, -1)

This is the vertex form of a quadratic function: f(x) = (x + 3)² - 1. What is the equation for the axis of symmetry?

• x = -1

• x = -3

• x = 3

• x =1

This is the vertex form of a quadratic function: f(x) = (x + 3)² - 1. What is the standard form for this equation?

• f(x) = x² + 6x + 9

• f(x) = x² + 6x + 10

• xf(x) = x² + 8

• f(x) = x² + 6x + 8

Complete the square: x² + _______ + 81

• 81x

• 9x

• 18x

• 99x