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

Please help me with this question
Compare the rates of change of the following items. 20 points !!! PLEASE HELP A. The rate of change of item II is greater than the rate of change of item I.
What is the value of the expression ( 4 + 5 ) 2 ÷ ( 2 4 − 7 ) ?
Which value for x makes the sentence true? 12x = 8x + 12 Group of answer choices x = 8 x = 16 x = 1 x = 3
Which medium was used to decorate mummy cases in faiyum, egypt?.
Russia did not want a German-Ottoman alliance because
The original price of a computer game is 45$ The price is marked down by 18$ what percent of the original price is the markdown?
Was Adolf Hitler a good social leader or a poor social leader?
Factors that decrease the demand for bonds include.
Express your answer in scientific notation. 1.8x 10^-2 – 3.9 x 10^-3 =