college algebra
posted by zach w .
F(X)= 3x^2 30x70
what is the vertex
what is the axsis of symmetry
what are the intercept
what is the domain
what is the range
intervals increase
intervals decrease

you can see it's a parabola. By completing the square, you get
y = 3(x^2 + 10x + 25) + 5
y = 3(x+5)^2 + 5
you should be able to read off most of the answers you need from that. 
im still having a hard time please help a little more

review what you know about the parabola
y = a(xh)^2 + k
Here, we have
y = 3(x+5)^2 + 5
vertex at (5,2)
axis at x = 5
yintercept at (0,5)
xintercepts where 3x^2+30x+70 = 0, or
x = 1/3 (15±√15)
domain is all reals
range is all reals <= 5
increase for x < 5
decrease for x > 5
Respond to this Question
Similar Questions

Calculus  please help
Can someone please do these questions step by step and explain them. I really need help so I can do the same for the rest. a) f(x) = e^(sqrtx) 1. State the domain and range 2. Find f'(x) 3. Determine the intervals of increase and decrease. … 
math
. Given the following function, f(x)=x^2 8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the … 
College Algebra
Here is the whole question... I have figured most of it out but I need help with part (b)(f) and (g)... Maybe you also check the work I have already done Given the following function, find: (a) vertex, (b) axis of symmetry, (c) intercepts, … 
algebra
Given the following function, find: (a) vertex (b) axis of symmetry (c) intercepts, (d) domain (e) range (f) intervals where the function is increasing, (g) intervals where the function is decreasing Please show all of your work f(x)=7x^214x3 
Calculus
Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (infinity, … 
Algebra 2
3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point) A vertex: (2, –3); axis of symmetry: x = 2 B vertex: (–2, –3); axis of symmetry: x = –2 C vertex: (2, 3); axis of … 
college algebra
given the folowing quadratic equations find the vertex the axis of symmetry the intercept the domain the range the interval where the function is increasing andthe interval where the function is decreasing graph the function y=X^2+4x 
maths
For the following graph: a. Find the domain of f. b. Find the range of f. c. Find the xintercepts. d. Find the yintercept. e. Find the intervals over which f is increasing. f. Find the intervals over which f is decreasing. g. Find … 
Calculus
I need help determining the intervals of increase, decrease and the intervals of upward and downward concavity given f prime. f'(x)=(64x^4  125x) ^(2/3). Im not sure how to solve this. I know that the function has no intervals of … 
CALCULUS
Sketch the graph of f(x)=1/(1+x^2)showing yintercept, intervals where the graph increase / decrease, intervals where the graph is concave up/ down , inflexion point and stationary point