SOLUTION: graph of the function -2(x - 1)^2 = y + 5?

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Question 737927: graph of the function -2(x - 1)^2 = y + 5?

Found 2 solutions by MathLover1, lwsshak3:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-2%28x+-+1%29%5E2+=+y+%2B+5...move 5 to the left
-2%28x+-1%29%5E2-5+=+y+......now you have equation of parabola in vertex form y=a%28x-h%29%5E2%2Bk where (h=1,k=-5) are vertex coordinates, and coefficient a=-2
If a%3E+0, the parabola opens upwards
if a%3C+0, it opens downwards; since your a=-2 => a%3C+0 and parabola opens downwards

to graph this function, you need several points to plot and draw a parabola through
table:
let first point be vertex
x|y
1|-5
0|-7
2|-7
-2|-23
3|-13





Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
graph of the function -2(x - 1)^2 = y + 5
This is an equation of a parabola that opens downward:
Its standard (vertex) form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex. A is a coefficient that affects the slope or steepness of the curve.
..
For given equation: -2(x - 1)^2 = y + 5
rearrange terms to standard form:
y=+-2%28x-1%29%5E2%2B5
A=-2
vertex: (1,5)
axis of symmetry: x=1
y-intercept
set x=0
y=-2+5=3
see graph below:
+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C+-2%28x-1%29%5E2%2B5%29+