SOLUTION: Hello, I'm having problem graphing g(x)=-7(x+3)^(2)-3 on a number line. Can you help me? Thank you.

Question 554523: Hello, I'm having problem graphing g(x)=-7(x+3)^(2)-3 on a number line. Can you help me? Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You cannot graph an function on a number line. You need an x-axis and a y-axis.
Each x value is associated with a y=f(x) value to determine a point (x, y).
You can pick a few values for x, make the corresponding (x,y pairs), and plot them.
If you do not know what the graph will look like, picking random points may not give you a good graph. A graphing calculator or some graphing software program could do it for you.
The function you have is a quadratic function (meaning a polynomial with degree 2). The graph is a parabola.
In your case, the graph will look like an arch (like the one in St. Louis or half of the McDonald's logo).
For x=-3, That is a maximum of the function.
For any other value of x, ,
and .
The function is symmetrical to both sides of x=-3. The values of and the values of g(x) are the same for -4 as for -2. They are the same for -5 as for -1. They are the same for -6 and for 0. They are the same for pairs of values of x that are the same distance to either side of x=-3.
The graph looks like this:

RELATED QUESTIONS
Hello I need help plotting 1 and 2/3 on a number line. Can you help... (answered by CubeyThePenguin)

Can someone help me on this problem? If g(x) = -3x + 2, i need to find the... (answered by funmath)

I 'm having a problem to graph the equation (2/3) X =4 + y Please show me the x and y... (answered by nyc_function)

Hello I'm having a problem with one of my question on operations on functions. I will... (answered by Fombitz)

hello, I could really use your help on solving this problem. It's 7 over x+3=x-3. thank... (answered by solver91311)

Can someone help me please? I am having a problem solving this. Thank-you, much. x+5y=3... (answered by Earlsdon,edjones)

Hello, im really having trouble understanding my homework on the absolute maximum and... (answered by scott8148)

Graph on a number line x + 3 > -7 THANK... (answered by tutorcecilia)

Hello, I am looking for help on the topic of composite function. I am studying for a test (answered by josgarithmetic)