603640 603640
  • 26-01-2022
  • Mathematics
contestada

[tex]f(x)=-3x^{2} +6x+7[/tex] the equation of the axis of symmetry

Respuesta :

goddessboi goddessboi
  • 26-01-2022

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=-3x^2+6x+7[/tex]

[tex]y=-3x^2+6x+7[/tex]

[tex]y-10=-3x^2+6+7-10[/tex]

[tex]y-10=-3x^2+6x-3[/tex]

[tex]y-10=-3(x^2-2x+1)[/tex]

[tex]y-10=-3(x-1)^2[/tex]

[tex]y=-3(x-1)^2+10[/tex]

Identify vertex and axis of symmetry

[tex]y=a(x-h)^2+k[/tex]

[tex](h,k)\rightarrow(1,10)[/tex]

[tex]x=h\rightarrow x=1[/tex]

Ver imagen goddessboi
Answer Link

Otras preguntas

The radius of a circle is 5 kilometers. What is the circles diameters
Please Helpppppppppp!!
Risa types 216 words in 6 minutes she typed an average of how many words per minute
What is the greatest common factor for (3x2+xy)?
This negative, when developed will produce a 4" by 6" photograph. What is the length of each negative, if the width is 24 millimeters?
The mass of nitrogen dioxide contained in a 4.32 l vessel at 48 °c and 141600 pa is ________ g.
what is the most important step to cellular respiration
Find the orbital speed v of a satellite in a circular orbit of radius r around a planet of mass m.
: Explain the difference between the free exercise clause and the establishment clause.
For most careers, which degree will likely result in the highest lifetime earnings