Question

Let f(x)= 3x^2-6x+1. Express this quadratic function in the standard form . Find the vertex, the minimum or maximum value of function , x-intercepts, y-intercept, domain and range. Show your table of values, and sketch the graph.

Answer #1

Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the
vertex, axis, x-intercepts, y-intercept, domain, range, and
intervals of the domain for which the function is increasing or
decreasing.

express the f(x)=3x^2-18x+15 in the standard form.
find its vertex and its x and y intercepts. sketch the graph.

Consider the quadratic function f, given by f(x) = −x2 + 6x−8.
(i) Determine if the graph of y = −x2 + 6x − 8 is concave up or
concave down, providing a justiﬁcation with your answer. (ii)
Re-write the equation of the quadratic function f, given by f(x) =
−x2 +6x−8, in the standard form f(x) = a(x−h)2+k by completing the
square. Hence determine the vertex of the graph of y = f(x).
(iii) Identify the x-intercepts and y-intercept...

A quadratic function is given:
f(x)=x2 + 4x − 2
a) express f in standard form (I already got that and it was
(x+2)^2-6
b) sketch a graph of f
c) Find the maximum or minimum value of f. Is this value a
maximum or minimum value?

Question 1a Consider the polynomial function P(x) = x3+x2−20x.
Sketch a graph of y = P(x) by: determining the zeros of P(x),
identifying the y-intercept of y = P(x), using test points to
examine the sign of P(x) to either side of each zero and deducing
the end behaviour of the polynomial.
b Consider the quadratic function f(x) = 2x2 + 8x−1. (a) Express
f(x) in standard form. (b) Determine the vertex of f(x). (c)
Determine the x- and y-intercepts...

given that f'(x)=-3x^2 -6x answer the following
what inteeval is f(x) increasing or decreasinf
find x coordinates of all inflection points of f(x)
on what interval is f(x) concave up and down
suppose (-2,0), (1,0) and (0,4) are intercepts of f(x) whose
domain is all real. sketch a possible graph of f(x)
find f(x) by integrating f'(x) and intercept information from
above
find all global extrema on interval [-1,5]
show work please and thanks in advance :)

1)Find the vertex and the x-intercepts (if any) of the
parabola. (If an answer does not exist, enter DNE.)
f(x) = 3x2 − 5x − 2
vertex
(x, y)
=
x-intercept
(x, y)
=
(smaller x-value)
x-intercept
(x, y)
=
(larger x-value)
Sketch the parabola.
2)Find the vertex and the x-intercepts (if any) of the
parabola. (If an answer does not exist, enter DNE.)
f(x) = x2 + 4x + 4
vertex
(x, y)
=
x-intercept...

[5 point] 1. Examine the quadratic relation y = -2x2 + 16x –
30.
a) Express the relation in factored form. Show your
steps.
b) Determine the zeros.
c) Determine the coordinates of the vertex.
d) Determine the y-intercept.
e) Sketch the graph of the relation.
[5 point] 2. Examine the quadratic relation y = 4x2 – 4x +
1.
a) Express the relation in factored form.
b) Determine the zeros.
c) Determine the coordinates of the vertex.
d) Determine...

(i) Given the function f(x) = x3 − 3x + 2
(a) What are the critical values of f?
(b) Find relative maximum/minimum values (if any). (c) Find
possible inflection points of f.
(d) On which intervals is f concave up or down?
(e) Sketch the graph of f.
(ii) Find a horizontal and a vertical asymptote of f(x) = 6x .
8x+3

For each linear or quadratic functions, are required to find the
domain, range, x-intercept, y-intercept, maxima, minima, end
behavior, discontinuities, asymptote; asymmetry. Also graph the
functions. Be sure to show all your work
1. f(x) = 3x+ 2
2. f(x) = 1/2X – 4

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