SOLUTION: So frustrated and running out of time. My question was partly answered earlier but still confused. I have stressed too much over these equations. I need to graph two different e

Algebra ->  Graphs -> SOLUTION: So frustrated and running out of time. My question was partly answered earlier but still confused. I have stressed too much over these equations. I need to graph two different e      Log On


   



Question 764645: So frustrated and running out of time. My question was partly answered earlier but still confused. I have stressed too much over these equations.
I need to graph two different equations with at least five points to graph, show all math work for finding the points. The equations are:
f(x)=4 must find the domain and range of this function
x=(y+2)^2 must find domain and range of this relation.
Specifically mention any key points on the graphs, including intercepts, vertex, or start/end points. Discuss the general shape and location of each of your graphs. State the domain and range for each equation. Select one of the graphs and assume it has been shifted 3 units upward and 4 units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
Please someone help. I have an hour and a half to get this submitted...

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The only diverse set of details come with graphing the parabola. It is written as x as a function of y. The symmetry axis is horizontal, and has been off-set from standard downward by 2 units, as is the whole parabola. The parabola opens to the right, and the vertex is at (0, -2). We can find all this information just through understanding how standard form for a parabola equation works.

Standard Form for a Parabola Parallel to Horizontal Axis:
highlight%28x-h=a%28y-k%29%5E2%29
Center is (h,k)
Opens to left if a%3C0, and opens to right if a%3E0
Axis of Symmetry is y=-k


Lower branch of this parabola

graph%28250%2C250%2C-20%2C20%2C-20%2C20%2C-2-sqrt%28x%29%29

Upper branch of this parabola
graph%28250%2C250%2C-20%2C20%2C-20%2C20%2C-2%2Bsqrt%28x%29%29