valentinavallealamos valentinavallealamos
  • 04-03-2018
  • Mathematics
contestada

The graph of a function in the form f(x) a(x - h)2 +k is shown. Use the graph to find an equation for f(x).

The graph of a function in the form fx ax h2 k is shown Use the graph to find an equation for fx class=

Respuesta :

gmany
gmany gmany
  • 12-05-2018
O.K.

(h; k) are the coordinates of the vertex.

On the graph are (3; 4), therefore we have:

[tex]f(x)=a(x-3)^2+4[/tex]

We have the x-intercept (1; 0) → x = 1; y = 0.
Substitute them in the equation:

[tex]0=a(1-3)^2+4\\\\0=a(-2)^2+4\\\\4a+4=0\ \ \ |-4\\\\4a=-4\ \ \ \ |:4\\\\a=-1[/tex]

so. We have the answer:

[tex]\boxed{f(x)=-(x-3)^2+4}[/tex]

Answer Link

Otras preguntas

Neeeeed help please, and thanks! :))) [tex]\sf 4(2x-3)=6x+2[/tex]
PLEASE HELP WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Describe the four major tools central banks use to enact monetary policy: reserve requirements, discount rates, open market operations, and interest on reserves
PLZ HELP ITS DUE TODAY!!!!!!!
PLEASE HELP WILL GIVE BRAINLY AND 5.0 RATING
The President comes to Virginia to help a member of his political party campaign for the United States Senate. The President is — A. educating the electorate ab
Which two statements are true for both compounds and mixtures? A. They are made up of more than one type of atom. B. Their particles all have the same chemical
Find the dot product for u = { 3, -2} and v = {-5, 1}
please help me on the question​
PLEASE HELP Will give brainliest and 5.0 rating xx