Question

dentify the quadratic function(s). (Select all that apply.) 8 - 5x = 4(3x - 1) (4a + 2)(2a - 1) + 1 = 0 2y + 2(3y - 5) = 0 2b(b - 7) + b = 0

Answer 1

Answer:

Step-by-step explanation:

1.

8 -5x = 4(3x-1)

-17x+12=0

2.

(4a+2)(2a-1)+1=0

$8{a}^2-4a+4a-2=0\\8{a}^2-2=0\\4{a}^2-1=0$

3.

2y+2(3y-5)=0

8y-10=0

4y-5=0

4.

2b(b-7)+b=0

$2{b}^2-14b+b=0\\2{b}^2-13b=0$

2 and 4 are quadratic functions.

Answer 2

a) 8 - 5x = 4(3x - 1)

b) (4a + 2)(2a - 1) + 1 = 0

c) 2y + 2(3y - 5) = 0

d)  2b(b - 7) + b = 0

Answer:

Option b and d

Step-by-step explanation:

a) 8 - 5x = 4(3x - 1)

⇒ 8-5x=12x-4

⇒ -5x-12x+8+4=0

⇒ -17x+12=0

It can not be quadratic function because it has no square.

b) (4a + 2)(2a - 1) + 1 = 0

⇒ 4a(2a-1)+2(2a-1)=0

⇒ 8a²-4a+4a-2=0

⇒ 8a²-2=0

It is a quadratic function because it has a square.

c) 2y + 2(3y - 5) = 0

⇒ 2y+6y-5=0

⇒ 8y-5=0

It is not a quadratic function because it has no square.

d) 2b(b - 7) + b = 0

⇒ 2b²-14b+b=0

⇒ 2b²+13b=0

It is a quadratic function because it has a square.