Respuesta :

Question 3:

  1. [tex]f(x)=(\frac{2}{3})x^2+3x-2\\[/tex]⇒standard form
  2. [tex]f(x)=3x^2-8x+5(3x-8)[/tex]⇒intercept form
  3. [tex]f(x)=4(x-5)^2+20[/tex]⇒ vertex form
  4. [tex]f(x)=-(3x-8)(3x+5)[/tex]⇒none of the above

Question 4:Explain in detail how to solve the following function by completing the square:

[tex]x^2+8x-9=0[/tex]

1. move the term to left side (done)

[tex]x^2+8x-9=0[/tex]

2. use the quadratic formula

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

A=1

B=8

C=-9

[tex]x=\frac{-(8)+\sqrt{(8)^2-4(1)(-9)} }{2(1)}[/tex]

x=1

now check your answer.

1^2+8(1)-9=0