Vertex Form of Quadratic Equations

Which of the following represents the standard form of the quadratic function?

• ax² + bx + c = 0

• y = a(x - h)²

• y = ax² + bx + c

• y = a(x - h)² + k

What is the value of the 3rd term of the quadratic function y = x² - 7x to make it a perfect square trinomial?

• 7/2

• 49/4

• 14

• 49

Tags

CCSS.HSA-REI.B.4B

How shall we write the vertex form of the quadratic function y = x² - 7x to make it a perfect square trinomial?

• y = (x - 4)² + 10

• y = (x - 4)² - 10

• y = (x + 10)² + 4

• y = (x - 10)² - 10

What is the value of h when writing the quadratic function

y = x² + 10x + 21 in vertex form?

• -5

• -10

• -20

• -25

Which of the following does NOT represent vertex form of the quadratic function?

I. y = 3(x + 4)² - 8 III. y + 2 = (x - 6)²

II. y = x² - 7x - 15 IV. y = x² - 169

• I and III

• II only

• II and IV

• IV only

What should be the 3rd term of this quadratic function y = 2x² + 8x to make it a perfect square trinomial?

• 2

• 4

• 8

• 16

Tags

CCSS.HSA-REI.B.4B

What are the binomial factors of this perfect square trinomial

y = x² - 12x + 36?

• (x + 6)(x - 6)

• (x + 3)(x + 12)

• (x - 3)(x -12)

• (x - 6)(x - 6)

Tags

CCSS.HSA.APR.C.4

Which of the following functions represents the vertex form of

y = x² + 16x + 31?

• y = (x + 8)² - 33

• y = (x + 8)² + 95

• y = (x - 8)² - 33

• y = (x - 8)² - 95

What is the value of k when writing the quadratic function y = 2x² + 10x + 21 in vertex form?

• 2

• -2

• 4

• -4

How shall we write the vertex form of the quadratic function y = 2x² - 12x + 5?

• y = 2(x - 3)² + 13

• y = 2(x - 3)² - 13

• y = 2(x + 13)² + 3

• y = 2(x - 13)² - 3