Identify the values of a, b, and c.
a=
b=
C=
Given y = (2x + 3)? choose the standard form of
the given quadratic equation
0 = 25x2
0 = 4x2 +9
0 = 4x2 + 10x + 6
✓ 0 = 4x2 + 12x + 9
COMPLETE
RETRY

Respuesta :

Answer:

  • a=4
  • b=12
  • c=9
  • You have correctly selected the standard form.

Step-by-step explanation:

  (2x +3)² = (2x)² + 2(2x)(3) +(3)²

  = 4x² +12x +9

Comparing that to ax² +bx +c, we can identify ...

  • a = 4
  • b = 12
  • c = 9

The values of a, b, and c are:

a   =  4

b  =  12

c  =  9

The given quadratic equation is:

y  =   (2x  +  3)²

A quadratic equation is of the form:

y  =  ax²  +  bx   +  c

Expand the equation y = (2x  +  3)²

y  =  (2x  +  3)(2x  +  3)

y   =  4x²  +  6x  +  6x   +  9

y  =  4x²  +  12x   +  9

Comparing y = 4x²  +  12x  +  9   with  y  =  ax²  +  bx  +  c

a   =  4

b  =  12

c  =  9

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