SOLUTION: consider the function f(x)=4x^2-2x.
a) write the function in the form f(x)=a(x-p)^2 + q
b) sketch the graph of the function f(x) clearly indicating the coordinates of the vertex
Algebra.Com
Question 1117648: consider the function f(x)=4x^2-2x.
a) write the function in the form f(x)=a(x-p)^2 + q
b) sketch the graph of the function f(x) clearly indicating the coordinates of the vertex and the intercepts on the axes
c)what is the maximum or minimum value of f(x)
d)what is the range of f(x)
e)where does the function satisfy the condition f(x)<_0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 4x^2\ +\ 2x)
a. Complete the square
\ =\ 4\(x^2\ +\ \frac{1}{2}x\ +\ \frac{1}{16}\)\ -\ \frac{1}{4})
\ =\ 4\(x\ -\ \frac{1}{4}\)^2\ -\ \frac{1}{4})
b.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
sketch a graph of the function... (answered by Fombitz)
is the function f(x)=(x^2/2) + (1/x) a rational function? If so write in the form of... (answered by solver91311)
Sketch the graph of the function
F(x)= 5x+2
(answered by MathLover1)
(a) Express the quadratic function in standard form.
(b) Find its vertex and its x and y (answered by stanbon)
Sketch the graph of the function.
f(x) = 2x (answered by jim_thompson5910)
Consider the function:
f(x)=| x | for -1 (answered by Boreal)
Write the quadratic function in the form f(x)=a(x-h)^2+k
Then, give the vertex of its... (answered by ewatrrr)
Write the quadratic function in the form. f(x)=a(x-h)^2+k
Then, give the vertex of... (answered by josgarithmetic)
Sketch the graph of each function: (a) f(x)=|x+3|-2 (b) g(x)= 1/(|x+3|-2 ) (answered by Fombitz)