SOLUTION: I am so confused on this. Graph each quadratic function, and state it's domain and range. y=-2x^2+3 The directions are as follows: •There are many ways to go about solving mat

Algebra.Com
Question 669615: I am so confused on this.
Graph each quadratic function, and state it's domain and range.
y=-2x^2+3
The directions are as follows:
•There are many ways to go about solving math problems. For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, although the discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
•Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points. (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
•Discuss the general shape and location of each of your graphs.
•State the domain and range for each of your equations. Write them in interval notation.
•State whether each of the equations is a function or not giving your reasons for the answer.
•Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
•Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
◦Function
◦Relation
◦Domain
◦Range
◦Transformation
3
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

 standard forms are a 'need to know'

the vertex form of a Parabola opening up(a>0) or down(a<0)is:  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry Pt(2,-5) on the curve

y=-2x^2+3  V(0,3), -2< 0, opening downward, Line of Symmetry is x = 0 (y=axis)

function(satisfies the vertical Line test) describes a parabola. 

domain:  (−∞,∞)

range:   (−∞,3]

Transformation(shifted three units upward and four units to the left) y = -2(x+4)^2 + 6 



 

RELATED QUESTIONS


Can someone please help me with this. It is due tonight before midnight and I am so... (answered by stanbon,rothauserc)

Can someone please help me with this work. I am so confused that my head hurts from... (answered by stanbon)

For this problem, it asks me to graph the function f(x) = 2/ x^2 -2x -3

And then it... (answered by lwsshak3)

Good evening, i’m so confused about this question. I don’t know if i will do the graphing  (answered by josgarithmetic)

help on this graph needed, please! 
For the quadratic function   y= f(x)= x^2-2x-15,... (answered by funmath)

So frustrated and running out of time. My question was partly answered earlier but still... (answered by josgarithmetic)

Really stuck on this one! For the quadratic function y  =F(x) = x^2-2x-15
i need the... (answered by Edwin McCravy)

Can you please show me how to graph each quadratic equation using its properties, and... (answered by jim_thompson5910)

Graph each quadratic function, and state its domain and range.... (answered by jim_thompson5910)